{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "toc": true
   },
   "source": [
    "<h1>Table of Contents<span class=\"tocSkip\"></span></h1>\n",
    "<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#NEEDS-TO-BE-UPDATED-IN-ACCORDANCE-WITH-ETF-Market-Internals_Test-Class-Script.ipynb\" data-toc-modified-id=\"NEEDS-TO-BE-UPDATED-IN-ACCORDANCE-WITH-ETF-Market-Internals_Test-Class-Script.ipynb-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>NEEDS TO BE UPDATED IN ACCORDANCE WITH <code>ETF Market Internals_Test Class Script.ipynb</code></a></span></li></ul></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## NEEDS TO BE UPDATED IN ACCORDANCE WITH `ETF Market Internals_Test Class Script.ipynb`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"\\nScript to examine performance of Long/Short Portfolio\\n\\nFactor: Cross-Sectional Return Bins\\n\\nStrategy Classification: Long/Short Market-Neutral Momentum \\n\\n1) Calculate return bins for each ETF Symbol's components (weekly)\\n2) Compare return bins across ETFs\\n3) Long N top ETFs that exceed PERCENTAGE threshold; Short N worst ETFs that exceed PERCENTAGE threshold.\\n4) Equal Weight, Risk-Parity, Minimum Correlation Algorithm\\n5) Hold N weeks and repeat\\n\""
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "Script to examine performance of Long/Short Portfolio\n",
    "\n",
    "Factor: Cross-Sectional Return Bins\n",
    "\n",
    "Strategy Classification: Long/Short Market-Neutral Momentum \n",
    "\n",
    "1) Calculate return bins for each ETF Symbol's components (weekly)\n",
    "2) Compare return bins across ETFs\n",
    "3) Long N top ETFs that exceed PERCENTAGE threshold; Short N worst ETFs that exceed PERCENTAGE threshold.\n",
    "4) Equal Weight, Risk-Parity, Minimum Correlation Algorithm\n",
    "5) Hold N weeks and repeat\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 1.1 s\n"
     ]
    }
   ],
   "source": [
    "%load_ext watermark\n",
    "%watermark\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "# import standard libs\n",
    "from IPython.display import display\n",
    "from IPython.core.debugger import set_trace as bp\n",
    "from pathlib import PurePath, Path\n",
    "import sys\n",
    "import time\n",
    "from collections import OrderedDict as od\n",
    "import re\n",
    "import os\n",
    "import json\n",
    "os.environ['THEANO_FLAGS'] = 'device=cpu,floatX=float32'\n",
    "\n",
    "# get project dir\n",
    "pp = PurePath(Path.cwd()).parts[:-1]\n",
    "pdir = PurePath(*pp)\n",
    "script_dir = pdir / 'src' \n",
    "viz_dir = pdir / 'report' / 'figures'\n",
    "data_dir = pdir / 'data'\n",
    "script_dirs = list(Path(script_dir).glob('./*/'))\n",
    "for sdir in script_dirs: sys.path.append(sdir.as_posix())\n",
    "\n",
    "import _blk_utilities_\n",
    "import _blk_ETF_Internals_\n",
    "utils = _blk_utilities_.utilities()\n",
    "\n",
    "from decimal import Decimal\n",
    "dplaces = Decimal('0.0001')\n",
    "\n",
    "import pandas as pd\n",
    "from pandas.tseries.offsets import *\n",
    "import pandas_datareader.data as web\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "%matplotlib inline\n",
    "sz = 11\n",
    "mlt = 1.66\n",
    "size=(mlt * sz, sz)\n",
    "import seaborn as sns\n",
    "sns.set_style('white', {\"xtick.major.size\": 2, \"ytick.major.size\": 2})\n",
    "flatui = [\"#9b59b6\", \"#3498db\", \"#95a5a6\", \"#e74c3c\", \"#34495e\", \"#2ecc71\",\"#f4cae4\"]\n",
    "sns.set_palette(sns.color_palette(flatui,7))\n",
    "from collections import OrderedDict as od\n",
    "from tqdm import tqdm, tqdm_notebook\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "import missingno as msno\n",
    "\n",
    "print()\n",
    "%watermark -p pandas,pandas_datareader,dask,numpy,matplotlib,seaborn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def _quantize(val):\n",
    "    return Decimal(val).quantize(dplaces)\n",
    "\n",
    "def _format_bins(npos, nneg):\n",
    "    npos['Percent of Total Stocks'] = npos['Percent of Total Stocks'].apply(_quantize)\n",
    "    nneg['Percent of Total Stocks'] = nneg['Percent of Total Stocks'].apply(_quantize)\n",
    "    return npos, nneg\n",
    "\n",
    "\"\"\"Create combined dataframe\"\"\"\n",
    "def _add_columns(df, empty_df, etf_sym):\n",
    "    empty_df[etf_sym] = df['Percent of Total Stocks']\n",
    "    return empty_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"\n",
    "import sample holdings from ETF\n",
    "\"\"\"\n",
    "def _remove_cash_holdings(etf):\n",
    "    return pd.Series([sym for sym in etf if 'CASH' not in sym])\n",
    "# ============================================================================================ #\n",
    "# EUROPE\n",
    "def _format_FTSE_symbols():\n",
    "    ftse100 = pd.read_csv(project_path + r'_ETF_Holdings\\_Foreign\\ISF_holdings.csv', skiprows=2)\n",
    "    ftse100 = ftse100[ ftse100['Sector'] != r'Cash and/or Derivatives' ].dropna()\n",
    "    ftse100 = (ftse100['Issuer Ticker'].replace(['/', '\\.'], '', regex=True)).sort_values().reset_index(drop=True)    \n",
    "    idx_loc = None\n",
    "    for i in range(len(ftse100)):\n",
    "        if ftse100.ix[i] == 'BTA':\n",
    "            idx_loc = i\n",
    "    ftse100[idx_loc] = 'BT-A'\n",
    "    ftse100 =   pd.Series( [sec + '.L' for sec in ftse100 ] ).map(str.strip)\n",
    "    return ftse100\n",
    "\n",
    "def _format_DAX_symbols():\n",
    "    dax = pd.read_csv(project_path + r'_ETF_Holdings\\_Foreign\\EXS1_holdings.csv', skiprows=2)\n",
    "    dax = dax[ dax['Sector'] != r'Cash and/or Derivatives' ].dropna()    \n",
    "    dax = pd.Series( [sec + '.DE' for sec in dax['Issuer Ticker'] ] ).map(str.strip)\n",
    "    return dax\n",
    "# ============================================================================================ #\n",
    "# CANADA\n",
    "\n",
    "def _format_TSX_symbols():\n",
    "    tsx = pd.read_csv(project_path + r'_ETF_Holdings\\_Foreign\\XIU_holdings.csv', skiprows=10)\n",
    "    tsx = tsx[ tsx['Sector'] != r'Cash and/or Derivatives' ].dropna()\n",
    "    tsx = utils._clean_symbols_strings(tsx['Ticker'])\n",
    "    tsx = pd.Series( [sec + '.TO' for sec in tsx] ).map(str.strip)\n",
    "    return tsx\n",
    "# ============================================================================================ #\n",
    "# AUSTRALIA\n",
    "def _format_ASX_symbols():\n",
    "    asx = pd.read_excel(project_path + r'_ETF_Holdings\\_Foreign\\fund_allholdings_STW.xls', skiprows=4)\n",
    "    asx = asx[asx['Sector Classification'] != 'Unassigned']  \n",
    "    asx = asx['Ticker'].map(str.strip)\n",
    "    asx = asx.replace('-AU', '.AX', regex=True)\n",
    "    return asx\n",
    "# ============================================================================================ #\n",
    "# US MAJOR AVERAGES\n",
    "\n",
    "def _format_SPY_symbols():\n",
    "    spy = pd.read_excel(project_path + r'_ETF_Holdings\\_SPDR_holdings\\holdings-spy.xls', skiprows=3)\n",
    "    spy = spy[spy['Shares Held']>0]\n",
    "    spy = spy['Identifier'].map(str.strip)\n",
    "    spy = utils._clean_symbols_strings(spy)\n",
    "    spy = _remove_cash_holdings(spy)\n",
    "    return spy\n",
    "\n",
    "def _format_DIA_symbols():\n",
    "    dia = pd.read_excel(project_path + r'_ETF_Holdings\\_SPDR_holdings\\holdings-dia.xls', skiprows=3)\n",
    "    dia = dia[(dia['Shares Held']>0) & (dia['Identifier'] != 'CASH_USD')]    \n",
    "    dia = dia['Identifier'].map(str.strip)\n",
    "    return dia\n",
    "\n",
    "def _format_QQQ_symbols():\n",
    "    qqq = pd.read_csv(project_path + r'_ETF_Holdings\\_QQQ_holdings\\holdings-QQQ.csv')\n",
    "    qqq = qqq['HoldingsTicker'].map(str.strip)\n",
    "    qqq = _remove_cash_holdings(qqq)\n",
    "    return qqq\n",
    "# ============================================================================================ #\n",
    "# SECTOR SPDRS\n",
    "\n",
    "def _format_XLB_symbols():\n",
    "    syms = pd.read_excel(project_path + r'_ETF_Holdings\\_SPDR_holdings\\holdings-xlb.xls', skiprows=1)\n",
    "    syms = syms['Symbol'].map(str.strip)\n",
    "    syms = utils._clean_symbols_strings(syms) \n",
    "    syms = _remove_cash_holdings(syms)\n",
    "    return syms\n",
    "\n",
    "def _format_XLE_symbols():\n",
    "    syms = pd.read_excel(project_path + r'_ETF_Holdings\\_SPDR_holdings\\holdings-xle.xls', skiprows=1)\n",
    "    syms = syms['Symbol'].map(str.strip)\n",
    "    syms = utils._clean_symbols_strings(syms)\n",
    "    syms = _remove_cash_holdings(syms)\n",
    "    return syms\n",
    "\n",
    "def _format_XLF_symbols():\n",
    "    syms = pd.read_excel(project_path + r'_ETF_Holdings\\_SPDR_holdings\\holdings-xlf.xls', skiprows=1)\n",
    "    syms = syms['Symbol'].map(str.strip)\n",
    "    syms = utils._clean_symbols_strings(syms)\n",
    "    syms = _remove_cash_holdings(syms)\n",
    "    return syms\n",
    "\n",
    "def _format_XLI_symbols():\n",
    "    syms = pd.read_excel(project_path + r'_ETF_Holdings\\_SPDR_holdings\\holdings-xli.xls', skiprows=1)\n",
    "    syms = syms['Symbol'].map(str.strip)\n",
    "    syms = _remove_cash_holdings(syms)\n",
    "    return syms\n",
    "\n",
    "def _format_XLK_symbols():\n",
    "    syms = pd.read_excel(project_path + r'_ETF_Holdings\\_SPDR_holdings\\holdings-xlk.xls', skiprows=1)\n",
    "    syms = syms['Symbol'].map(str.strip)\n",
    "    syms = utils._clean_symbols_strings(syms)\n",
    "    syms = _remove_cash_holdings(syms)\n",
    "    return syms\n",
    "\n",
    "def _format_XLP_symbols():\n",
    "    syms = pd.read_excel(project_path + r'_ETF_Holdings\\_SPDR_holdings\\holdings-xlp.xls', skiprows=1)\n",
    "    syms = syms['Symbol'].map(str.strip)\n",
    "    syms = utils._clean_symbols_strings(syms)\n",
    "    syms = _remove_cash_holdings(syms)\n",
    "    return syms\n",
    "\n",
    "def _format_XLU_symbols():\n",
    "    syms = pd.read_excel(project_path + r'_ETF_Holdings\\_SPDR_holdings\\holdings-xlu.xls', skiprows=1)\n",
    "    syms = syms['Symbol'].map(str.strip)\n",
    "    syms = utils._clean_symbols_strings(syms)\n",
    "    syms = _remove_cash_holdings(syms)\n",
    "    return syms\n",
    "\n",
    "def _format_XLV_symbols():\n",
    "    syms = pd.read_excel(project_path + r'_ETF_Holdings\\_SPDR_holdings\\holdings-xlv.xls', skiprows=1)\n",
    "    syms = syms['Symbol'].map(str.strip)\n",
    "    syms = utils._clean_symbols_strings(syms)\n",
    "    syms = _remove_cash_holdings(syms)\n",
    "    return syms\n",
    "\n",
    "def _format_XLY_symbols():\n",
    "    syms = pd.read_excel(project_path + r'_ETF_Holdings\\_SPDR_holdings\\holdings-xly.xls', skiprows=1)\n",
    "    syms = syms['Symbol'].map(str.strip)\n",
    "    syms = utils._clean_symbols_strings(syms)\n",
    "    syms = _remove_cash_holdings(syms)\n",
    "    return syms\n",
    "\n",
    "# ============================================================================================ #\n",
    "'''\n",
    "def _format_STOXX_symbols():\n",
    "    stoxx50 = pd.read_csv(project_path + r'_ETF_Holdings\\_Foreign\\EUE_holdings.csv', skiprows=2)\n",
    "    stoxx50= stoxx50[ stoxx50['Sector'] != r'Cash and/or Derivatives' ].dropna()    \n",
    "    stoxx50 = pd.Series( [sec + '.PA' for sec in stoxx50['Issuer Ticker'] ] ).map(str.strip)\n",
    "    return stoxx50\n",
    "    \n",
    "'''    \n",
    "\n",
    "# ============================================================================================ #\n",
    "# EUROPE\n",
    "FTSE = _format_FTSE_symbols()\n",
    "DAX = _format_DAX_symbols()\n",
    "# ============================================================================================ #\n",
    "# CANADA\n",
    "TSX = _format_TSX_symbols()\n",
    "# ============================================================================================ #\n",
    "# AUSTRALIA\n",
    "ASX = _format_ASX_symbols()\n",
    "# ============================================================================================ #\n",
    "# US MAJOR AVERAGES\n",
    "\n",
    "SPY = _format_SPY_symbols()\n",
    "DIA = _format_DIA_symbols()\n",
    "QQQ = _format_QQQ_symbols()\n",
    "# ============================================================================================ #\n",
    "# SECTOR SPDRS\n",
    "\n",
    "XLB = _format_XLB_symbols()\n",
    "XLE = _format_XLE_symbols()\n",
    "XLF = _format_XLF_symbols()\n",
    "XLI = _format_XLI_symbols()\n",
    "XLK = _format_XLK_symbols()\n",
    "XLP = _format_XLP_symbols()\n",
    "XLU = _format_XLU_symbols()\n",
    "XLV = _format_XLV_symbols()\n",
    "XLY = _format_XLY_symbols()\n",
    "\n",
    "all_etf_symbols = od([\n",
    "                    ('SPY',SPY), ('DIA',DIA), ('QQQ',QQQ), \n",
    "                    ('XLB',XLB), ('XLE',XLE), ('XLF',XLF), \n",
    "                    ('XLI',XLI), ('XLK',XLK), ('XLP',XLP), \n",
    "                    ('XLU',XLU), ('XLV',XLV), ('XLY',XLY),\n",
    "                    ('FTSE',FTSE), ('DAX',DAX), ('TSX',TSX), ('ASX',ASX)        \n",
    "                    ])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'creating directory...'\n",
      "'directory created [complete]'\n",
      "2014-03-31 00:00:00 2016-03-25 00:00:00 [Monday, 03.31.2014 - Friday, 03.25.2016]\n"
     ]
    }
   ],
   "source": [
    "import importlib \n",
    "importlib.reload(_blk_ETF_Internals_)\n",
    "etfi = _blk_ETF_Internals_.etfInternals()\n",
    "\n",
    "# get query dates anchored to last 52 weeks Monday\n",
    "start_query, end_query = etfi._get_query_dates()\n",
    "date_format = utils._create_date_format(start_query, end_query)\n",
    "print(start_query, end_query, date_format)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              SPY         DIA         QQQ         XLB         XLE         XLF  \\\n",
      "count  447.000000  447.000000  447.000000  447.000000  447.000000  447.000000   \n",
      "mean     0.000413    0.000366    0.000671    0.000165   -0.000424    0.000198   \n",
      "std      0.009223    0.009032    0.010998    0.011641    0.015942    0.010795   \n",
      "min     -0.043019   -0.037366   -0.044690   -0.042811   -0.066400   -0.043664   \n",
      "25%     -0.004124   -0.004256   -0.004531   -0.006514   -0.008980   -0.005332   \n",
      "50%      0.000585    0.000743    0.000768    0.000822   -0.000258    0.000834   \n",
      "75%      0.005132    0.005392    0.006418    0.006836    0.008051    0.006334   \n",
      "max      0.037675    0.038670    0.049135    0.035693    0.048277    0.041351   \n",
      "\n",
      "              XLI         XLK         XLP         XLU         XLV         XLY  \\\n",
      "count  447.000000  447.000000  447.000000  447.000000  447.000000  447.000000   \n",
      "mean     0.000380    0.000666    0.000641    0.000723    0.000431    0.000564   \n",
      "std      0.009993    0.010557    0.007828    0.009859    0.010916    0.009985   \n",
      "min     -0.036209   -0.040232   -0.035413   -0.042058   -0.043609   -0.040760   \n",
      "25%     -0.005053   -0.004669   -0.004043   -0.004953   -0.005439   -0.004697   \n",
      "50%      0.000541    0.000932    0.000898    0.001438    0.000970    0.001108   \n",
      "75%      0.005837    0.006394    0.004968    0.006765    0.006722    0.006480   \n",
      "max      0.030759    0.049169    0.029113    0.026591    0.041363    0.037271   \n",
      "\n",
      "            ^FTSE      ^GDAXI     ^GSPTSE       ^AXJO  \n",
      "count  447.000000  447.000000  447.000000  447.000000  \n",
      "mean    -0.000265    0.000036   -0.000134   -0.000077  \n",
      "std      0.010541    0.013927    0.008903    0.009912  \n",
      "min     -0.047798   -0.048165   -0.031745   -0.041765  \n",
      "25%     -0.005741   -0.008695   -0.005202   -0.005716  \n",
      "50%      0.000110    0.000746    0.000394    0.000440  \n",
      "75%      0.005385    0.007712    0.004699    0.005897  \n",
      "max      0.034971    0.048521    0.028963    0.029913  \n",
      "Wall time: 3.71 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "# Get ETF Indices price data for performance analytics\n",
    "etf_syms = ['SPY', 'DIA', 'QQQ', 'XLB', 'XLE', 'XLF', 'XLI', 'XLK', \\\n",
    "            'XLP', 'XLU', 'XLV', 'XLY', '^FTSE', '^GDAXI', '^GSPTSE', '^AXJO']\n",
    "\n",
    "def _get_px(symbol, start, end):\n",
    "    return web.DataReader(symbol, 'yahoo', start, end)['Adj Close']\n",
    "\n",
    "ETF_px = pd.DataFrame()\n",
    "for sym in etf_syms:\n",
    "    ETF_px[sym] = _get_px(sym, start_query, end_query)\n",
    "\n",
    "rets = np.log(ETF_px / ETF_px.shift(1)).dropna()\n",
    "print(rets.describe())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 0 ns\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\"\"\"\n",
    "Get all ETF Internals via Loop\n",
    "\"\"\"\n",
    "# ======================================================================= #\n",
    "def _single_run_download(ETF_symbol, symbols, *args):\n",
    "    \"\"\"Get Symbol data\"\"\"\n",
    "    location_h5 = etfi._get_symbol_px_data(ETF_symbol, symbols)\n",
    "# ======================================================================= #   \n",
    "def _calc_return_thresholds(list_of_thresholds, log_returns, N_stocks, pos=None):\n",
    "        \"\"\"Function to calculate the quantity of stocks meeting or exceeding a return threshold\n",
    "\n",
    "        Parameters:\n",
    "        ===========\n",
    "        list_of_thresholds: a list of each return level\n",
    "        log_returns: dataframe of equity returns\n",
    "        pos = boolean, if True calculates positive thresholds else negative\n",
    "\n",
    "        Returns:\n",
    "        ========\n",
    "        N_thresh = pd.Series() with stock counts for each return threshold\n",
    "        \"\"\"\n",
    "        if pos:\n",
    "            N_thresh = pd.DataFrame(columns=['Count', 'Percent of Total Stocks'], index=list_of_thresholds)\n",
    "            for thresh in list_of_thresholds:\n",
    "                l = [1 for i in log_returns.ix[-1] if i > thresh]\n",
    "                N_thresh.loc[thresh]['Count'] = sum(l)\n",
    "            N_thresh['Percent of Total Stocks'] = (N_thresh['Count'] / N_stocks)\n",
    "            return N_thresh\n",
    "        else:\n",
    "            N_thresh = pd.DataFrame(columns=['Count', 'Percent of Total Stocks'], index=list_of_thresholds)\n",
    "            for thresh in list_of_thresholds:\n",
    "                l = [1 for i in log_returns.ix[-1] if i <= thresh]\n",
    "                N_thresh.loc[thresh]['Count'] = sum(l)\n",
    "            N_thresh['Percent of Total Stocks'] = (N_thresh['Count'] / N_stocks)\n",
    "            return N_thresh  \n",
    "        \n",
    "# ======================================================================= #    \n",
    "def _get_return_bins(ETF_symbol, symbols, location_h5, start_date, end_date): \n",
    "    \"\"\"Extract Close Prices\"\"\"\n",
    "    px = etfi._extract_adjclose_px(location_h5, symbols)\n",
    "\n",
    "    \"\"\"Set key parameters\"\"\"\n",
    "    N_stocks = len(px.columns)\n",
    "    log_returns = etfi._calc_log_returns(px)\n",
    "    log_returns = log_returns.ix[start_date:end_date]\n",
    "\n",
    "    \"\"\"Calculate thresholds\"\"\"\n",
    "    pos_thresh = [0., .01, .02, .03, .04, .05, .06, .07, .1, .15, .2]\n",
    "    neg_thresh = [ flt * -1. for flt in pos_thresh ]\n",
    "\n",
    "    N_pos = _calc_return_thresholds(pos_thresh, log_returns.resample('1W', how='sum'), N_stocks, pos=True)\n",
    "    N_neg = _calc_return_thresholds(neg_thresh, log_returns.resample('1W', how='sum'), N_stocks)\n",
    "    return N_pos, N_neg\n",
    "# ======================================================================= #\n",
    "def _weekly_returns(ETF_symbol, returns, start_date, end_date): \n",
    "    \"\"\"Set Key parameters\"\"\"\n",
    "    selected_returns = returns.ix[start_date:end_date]\n",
    "    by_week_returns = selected_returns.sum()\n",
    "    return by_week_returns\n",
    "# ======================================================================= #\n",
    "def _convert_symbol(symbol, reverse=None):\n",
    "    '''function to convert foreign indices symbol to yahoo finance symbol'''\n",
    "    if not reverse:\n",
    "        incompatible_syms = ['FTSE','DAX','TSX','ASX']\n",
    "        compatible_syms = ['^FTSE', '^GDAXI', '^GSPTSE', '^AXJO']\n",
    "\n",
    "        compatible_symbol = None # Declare symbol\n",
    "        # iterate to check if any symbols are incompatible\n",
    "        for inc in incompatible_syms:\n",
    "            if symbol == inc:\n",
    "                idx_loc = incompatible_syms.index(inc)\n",
    "                compatible_symbol = compatible_syms[idx_loc]\n",
    "                return compatible_symbol\n",
    "        # if compatible_symbol is None then symbol is good; return it\n",
    "        if not compatible_symbol:\n",
    "            return symbol\n",
    "    elif reverse:\n",
    "        compatible_syms = ['FTSE','DAX','TSX','ASX']\n",
    "        incompatible_syms = ['^FTSE', '^GDAXI', '^GSPTSE', '^AXJO']\n",
    "\n",
    "        compatible_symbol = None # Declare symbol\n",
    "        # iterate to check if any symbols are incompatible\n",
    "        for inc in incompatible_syms:\n",
    "            if symbol == inc:\n",
    "                idx_loc = incompatible_syms.index(inc)\n",
    "                compatible_symbol = compatible_syms[idx_loc]\n",
    "                return compatible_symbol\n",
    "\n",
    "        # if compatible_symbol is None then symbol is good; return it\n",
    "        if not compatible_symbol:\n",
    "            return symbol        \n",
    "# ======================================================================= #        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DatetimeIndex(['2015-04-10', '2015-04-17', '2015-04-24', '2015-05-01',\n",
      "               '2015-05-08'],\n",
      "              dtype='datetime64[ns]', freq='W-FRI')\n",
      "DatetimeIndex(['2015-04-13', '2015-04-20', '2015-04-27', '2015-05-04',\n",
      "               '2015-05-11'],\n",
      "              dtype='datetime64[ns]', freq='W-MON')\n"
     ]
    }
   ],
   "source": [
    "today = pd.datetime.today().date()\n",
    "date_str = today.strftime('%m-%d-%y')\n",
    "\n",
    "start = today - 252 * BDay()\n",
    "idx_monday = pd.bdate_range(start, today - 5 * BDay(), freq='W-MON')\n",
    "idx_friday = pd.bdate_range(start, today, freq='W-FRI')\n",
    "print(idx_friday[:5])\n",
    "print(idx_monday[:5])\n",
    "\n",
    "dates = []\n",
    "n = 0\n",
    "for ifri in idx_friday[1:]:\n",
    "    try:\n",
    "        n += 1\n",
    "        imon = idx_monday[n - 1]\n",
    "        dates.append((ifri, imon))\n",
    "    except: break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 7min 28s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "# ~ 7-8 minutes to run\n",
    "idx = range(len(dates))\n",
    "by_date_pos = od()\n",
    "by_date_neg = od()\n",
    "\n",
    "for i in idx:\n",
    "    pos_df = pd.DataFrame()\n",
    "    neg_df = pd.DataFrame()\n",
    "    for etf_sym, symbols in all_etf_symbols.items():\n",
    "        today = pd.datetime.today().date()\n",
    "        date_str = today.strftime('%m-%d-%y')\n",
    "        location = price_path + r'{}\\{} ETF Market Internals Price Data {}.h5'.format(date_str, etf_sym, date_str)\n",
    "\n",
    "        MON, FRI = 1, 0\n",
    "        start_date = dates[i][MON]\n",
    "        end_date = dates[i][FRI]\n",
    "\n",
    "        npos, nneg = _get_return_bins(etf_sym, symbols, location, start_date, end_date)\n",
    "        npos, nneg = _format_bins(npos, nneg)    \n",
    "\n",
    "        pos_df = _add_columns(npos, pos_df, etf_sym)\n",
    "        neg_df = _add_columns(nneg, neg_df, etf_sym)\n",
    "        \n",
    "    by_date_pos[start_date] = pos_df\n",
    "    by_date_neg[start_date] = neg_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 668 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "IDX = range(len(dates))\n",
    "MON, FRI = 1, 0\n",
    "by_date_returns = od()\n",
    "\n",
    "for n in IDX:\n",
    "    for sym in all_etf_symbols.keys():\n",
    "        today = pd.datetime.today().date()       \n",
    "        start_date = dates[n][1] # [MON]\n",
    "        end_date = dates[n][0] # [FRI]\n",
    "\n",
    "        SYM = _convert_symbol(sym)\n",
    "        tmp_rets = _weekly_returns(SYM, rets, start_date, end_date)\n",
    "        \n",
    "        idx = []\n",
    "        for i in tmp_rets.index:\n",
    "            sec = _convert_symbol(i, reverse=True)\n",
    "            idx.append(sec)\n",
    "        tmp_df = pd.DataFrame(index=idx)\n",
    "        tmp_rets.index = idx\n",
    "        tmp_df['weekly_returns'] = tmp_rets\n",
    "        # print(tmp_df)\n",
    "        \n",
    "    by_date_returns[start_date] = tmp_rets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "positive threshold: 0.00% | mean return: 0.15% | sum: 7.57%\n",
      "positive threshold: 1.00% | mean return: 0.39% | sum: 7.10%\n",
      "positive threshold: 2.00% | mean return: 0.40% | sum: 7.23%\n",
      "positive threshold: 3.00% | mean return: 0.34% | sum: 6.14%\n",
      "positive threshold: 4.00% | mean return: 0.25% | sum: 4.55%\n",
      "positive threshold: 5.00% | mean return: 0.23% | sum: 1.39%\n",
      "positive threshold: 6.00% | mean return: 0.14% | sum: 0.82%\n",
      "positive threshold: 7.00% | mean return: 0.55% | sum: 2.19%\n",
      "positive threshold: 10.00% | mean return: NaN% | sum: 0.00%\n",
      "positive threshold: 15.00% | mean return: NaN% | sum: 0.00%\n",
      "positive threshold: 20.00% | mean return: NaN% | sum: 0.00%\n"
     ]
    }
   ],
   "source": [
    "\"\"\"\n",
    "Get time series of returns for Symbols in the top quintile of return distribution\n",
    "\n",
    "1. Select positive(negative) return bins\n",
    "2. Group by Percent Total of return distro\n",
    "3. Select group\n",
    "4. Examine next week's returns\n",
    "5. Store results\n",
    "\"\"\"\n",
    "\n",
    "# POSITIVE THRESHOLDS\n",
    "mondays = [date[MON] for date in dates]\n",
    "fridays = [date[FRI] for date in dates]\n",
    "#len(list(pos_bin_dict.items())) # <= index due based on positive or negative thresholds exceeded\n",
    "# ======================================================================= #\n",
    "pos_thresh = [0., .01, .02, .03, .04, .05, .06, .07, .1, .15, .2]\n",
    "neg_thresh = [ flt * -1. for flt in pos_thresh ]\n",
    "\n",
    "pbt_dict = {} # agg pos_bin_dict by return thresholds\n",
    "# calculate quintiles\n",
    "for thresh in pos_thresh:\n",
    "    try:\n",
    "        pos_bin_dict = {}\n",
    "        for k, v in by_date_pos.items():\n",
    "            tmp = pd.DataFrame()\n",
    "            tmp['Percent_Total'] = v.loc[thresh].astype(float)\n",
    "            tmp['Quintiles'] = pd.qcut(tmp['Percent_Total'], 2, labels=False)\n",
    "            pos_bin_dict[k] = tmp.sort_values('Percent_Total', ascending=False)\n",
    "    except: pass\n",
    "    pbt_dict[thresh] = pos_bin_dict\n",
    "\n",
    "# ======================================================================= #\n",
    "HPR = {} # hpr by thresh\n",
    "for thresh in pbt_dict.keys():\n",
    "    hpr_long = pd.Series() # long portfolio holding period rets\n",
    "    hpr_short = pd.Series()\n",
    "    LS = pd.Series()\n",
    "    for k, v in pbt_dict[thresh].items():\n",
    "        tgt_date = pd.to_datetime(k)\n",
    "        # select quintile and get symbols\n",
    "        top_q_syms = list(v[v['Quintiles']==0].index)\n",
    "        bottom_q_syms = list(v[v['Quintiles']==1].index)\n",
    "        try:\n",
    "            for i, n in enumerate(dates):\n",
    "                if n[MON] == tgt_date: # get location of date\n",
    "                    next_monday_close = dates[i + 1][MON]\n",
    "        except: continue\n",
    "        \n",
    "        hpr_long.loc[tgt_date.date().strftime('%m-%d-%y')] = by_date_returns[next_monday_close][top_q_syms].mean()\n",
    "        hpr_short.loc[tgt_date.date().strftime('%m-%d-%y')] = by_date_returns[next_monday_close][bottom_q_syms].mean()\n",
    "        \n",
    "        long = hpr_long.loc[tgt_date.date().strftime('%m-%d-%y')]\n",
    "        short = hpr_short.loc[tgt_date.date().strftime('%m-%d-%y')]\n",
    "        \n",
    "        LS.loc[tgt_date.date().strftime('%m-%d-%y')] = long - short\n",
    "    HPR[thresh] = LS\n",
    "\n",
    "# ======================================================================= #\n",
    "for thresh in sorted(list(pbt_dict.keys())):\n",
    "    try:\n",
    "        print('positive threshold: {:3.2%} | mean return: {:3.2%} | sum: {:3.2%}'.format(thresh,\n",
    "                                                                          Decimal(HPR[thresh].mean()).quantize(dplaces),\n",
    "                                                                          Decimal(HPR[thresh].sum()).quantize(dplaces)\n",
    "                                                                                        ))\n",
    "    except: pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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iVKtuuLm5qSYhligqKsIPP/yADz74QO1rXqawsBBBQUEYOHAgl4wjrQoKCsLgwYOFLoOq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\nJBkbCCIiIiIikowNBBERERERSfYPrAcoxBVxeAQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x403fc1fe80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FCxcydOjQFI4sIiIikvFYLBZmL1rByg07KF60EPN9R1Ewv5PRsUT+sSTPQDg6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\nCWrYsKFmz5593Tpmmzt5eeyWLl1aa9as0erVq+Xi4qJBgwbp0UcfzfZ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      "text/plain": [
       "<matplotlib.figure.Figure at 0x4040eb0940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/V3mQJCHGAhEcHEyaNGksr41GI1FRUS+dljp1ah49emR5/fXXX9O9e/e3mVdE\nRETeot0HAxg59Rtu/3HX2lGSlIMBJ2jXcziXrt2kZaNajOrbWU+XliQjxgLh6OhISEiI5XVUVJTl\nCYmOjo4EBwdbpoWEhJA2bVoAHj16xOXLlyldunSsgvj6+uLh4fFa4UVEROS/MZvNLF75I1+MnsnG\n7fto3WMYB46esHasRM9sNrNg+UZ6DptCaNgTBvfoQO9PWujp0pIoeXh44Ovr+8L7Mf40lyhRgt27\ndwNw7Ngx3N3dLdPc3Ny4cuUKQUFBhIeH4+/vT7FixQDw9/enbNmysQ7o7e2Nn59frOcXERGR/8Zk\nMuEzawEz5y0jo3M6OrdqSGjoY3oOm8I336+1XGkgryckNIwB42Yxe8EKMqZ34uuJg2hYq4q1Y4n8\nZ35+fnh7e7/wfozn0qpXr87+/ftp3rw5AD4+PmzcuJGwsDC8vLwYOHAgHTt2xGw24+XlRebMmQG4\ndOlStNGaRERExPqCQ0IZMG4Wh345hXveXEwb0ZvMGZ2p8H4xBoybxdffreHk2YuM7NsFp7QaACW2\nrly/zRdjZnDp6k2KF86Pz8DPNNKSJFkGs9lstnaIZ65fv46Hhwd+fn64uLhYO46IiEiScjPwDr1H\nTOP3KzeoWLoYY/t3JVXKFJbpD4KCGTbpKw4cPUHWTBkYP7g7hdzzWjFx4rDn0C8MmzSXkNAwmn9U\ng56dmmE06n4HSbxiOibXBXkiIiLJwKlzF+nQexS/X7lBswbVmTy0Z7TyAOCU1pHpIz+nc+tGBP55\nj0/6jmX1jztJQL9rTFCioqKY+91q+oycjslkYmTfzvTp0krlQZI8/YSLiIgkcTv2+TNs8lwiTCa+\n6NqapvWrv3JeGxsbPmnZkML53Rg68Ut8Zi3g1zO/MeCzdqRI4RCPqRO2R8EhDJs0l33+x8meJSMT\nh/Qgv5urtWOJxAudgRAREUmino201H/cLGxtbZkyrNe/lofnlStZhMUzR/Guex42+e2nY5/RXL1x\nO44TJw4XLl+nXa+R7PM/TpnihVg4Y6TKgyQrKhAiIiJJkMlkYpzvfGbOW0bmDOn5ZtJgKpYu9lrr\nyJYlI99MGkyTutX47dI12vYcwa6fj8ZR4sRh+97DdPx8FNduBtLOqy4zRvXVzeaS7KhAiIiIJDHB\nIaH0Gj6VtZt3k9/NlfnThuGeN9d/Wpe9nR0DPmvHyD6dMUVG8sWYmfjOW4YpMvItp07YTJGR+M5b\nxkCf2QCkAQfjAAAgAElEQVSMH9Sd7h2aYmurQylJfnQPhIiISBJyM/AOvYZP5dLVm1QqU4wx/bq+\ncLP0f1HHowLueXPRb6wvi1b+yKnzvzOmX1cyOju9hdQJ24OHjxg84UsOHztFruxZmDi0B26uGi1S\nki/VZhERkSTi2UhLl67epPlHNZg05MWRlt5Evjw5WTRjBFXKl+Tor2dp02M4x06df2vrT4jOXrhM\n254jOHzsFBVLF2PB9OEqD5LsqUCIiIgkATv2+dOlvw8Pgh7xRdc29OnSKk4ur3FMnYqJg73p0akZ\n9x8E8Wl/H75fszlJDvX6o99+Pu47hlt//EnnVg2ZMqwnaRxTWzuWiNXpEiYREZFE7NlIS77zl5Mq\nZQomDPamwvtF43SbBoOBNk3q8K57XgaNn8O0b37g1zMXGNqrE6lTpYzTbccHk8nE9G+Xsmz9NlKn\nSonPwO5UKvN6N6CLJGU6AyEiIpJImUwmxs6cj+/85WTO6Mw3kwbHeXl4XskiBVjiO4rihdzx2+dP\nu14juXjlerxtPy78ee8B3QZOYNn6beTJlZ1FM0aoPIj8gwqEiIhIIvQoOISew6aybsvTkZYWvMFI\nS28io7MTc3z607pJba5cv0X7XiPZsutAvOd4G06cvUDbnsP55dR5PCq+z4Jpw8mVI6u1Y4kkOLqE\nSUREJJGJq5GW/iuj0UjPTs0pkt+NUdO+ZcjEr/j1zAV6fdwCO7vEcaix+qedTPpyMVFRUXh3aEob\nzzoYDAZrxxJJkBLHf9UiIiICwMmzF+kzajr3HgTRomENenZqkWCeRVCt4vu45c5J/7G+LN+wndPn\nL+Ez6DOyZspg7WivFB4RwcQ5i1m3ZTfp0qRmbP9ulClR2NqxRBK0hPGNIyIiIjHy2+fPpwOejrTU\nr1tbPu8cNyMtvQlXl6zMnzaMWlXLcfLcRdp4D+fQL6esHeulAv+8R+cvxrFuy27c8+Zi4YyRKg8i\nsZCwvnVERETkBWazmYUrNjFg3CxsbW2ZOrw3XvU8rB3rlVKmcGBU3y70/6wtwaGheA+ZxLyl64mK\nirJ2NIujJ87StsdwTp3/ndpVy/O/yUPIkTWTtWOJJAq6hElERCQBM5lMjJ+1kHVb95A5ozPTRvS2\nys3Sr8tgMOBZ14MCbrkZ4DOLLxet4sSZC4zs24W0aaz3LAWz2czSdduY8e0PYDDQ99PWNK3/oe53\nEHkNOgMhIiKSQD0KDqHHsCms27qHAvmsN9LSmyhcwI3vZo6iTPFC7PM/Tpsewzh74bJVsjx+/IRh\nk+cy9eslpEvryJxx/WjWoLrKg8hrUoEQERFJgG7cvkOnvmPwP3aaymWL8/XEwWTKkN7asf4Tp3Rp\nmDGqLx+3/IibgX/Sqc8Y1m3ZHa8Znu3PzTsPUDi/G4tmjqREkQLxmkEkqdAlTCIiIgnM8yMttWxY\nkx6dmie4m6Vfl62tDV1aN6ZwfjeGTZrLmBnzOH76N/p1a0sKB/s43fbBgBMMmfAlDx+F0LDWB3zR\ntQ32dnZxuk2RpCxxfxuJiIgkMc+PtNT/s7b07twy0ZeH51V4vyiLfUdSMF9uNmzbS6c+o7l+KzBO\ntmU2m1mwfCM9h00hNOwJg3p0YHCPjioPIm8o6XwjiYiIJGLPDnafH2nJs27CHWnpTWTPkolvJg+m\nUe0qnP/9Km16jGDPoV/e6jZCQsMYMG4WsxesIGN6J76eOIhGtaq81W2IJFcqECIiIlZmMpkYO2Me\nsxesIEsmZ76dPJgK7xe1dqw45WBvzyDvDgzr/TERERH0GTmd2QtWYIqMfON1X7l+mw6fj2LH/iMU\nL+TOopkjKVzA7S2kFhHQPRAiIiJW9Sg4hP7jZuF/7DQF8+Vm6ojeZHR2snaseFO/eiXyu7nSf6wv\nC5Zv5OS53xnbvyvOTmn/0/r2HPqFYZPmEhIaRrMG1en1cXOMRh3uiLxNOgMhIiJiJTdu36FTn6cj\nLX1QtgRzJw5KVuXhGfe8uVg0YwSVyxbnyPHTtPEexvHTv73WOqKiopj73Wr6jJyOyWRiZN/O9P20\ntcqDSBxQgRAREbGCE2cv0KH3SC5du0nLRrWYMNiblCkcrB3LatI4pmbSkB5079CUP+8/oEt/H5au\n24rZbI5x2UfBIfQZOZ1vv19HtswZ+d+UodSpViEeUoskT6rlIiIi8Wz73sOMmPI1JlMk/T9rm2Rv\nln5dNjY2tPOqSyH3vAyeMIcpc5fw65kLDOnZkVQpU7x0mYtXrvPF6JlcuxlI6WKFGDugG05pHeM5\nuUjyojMQIiIi8cRsNjN/2QYG+szGaGvL1BFJd6SlN1GqaEEWzxzJewXzsW3PIdr3GsmlqzdfmG/7\n3sN06D2KazcDaetVl5mj+6o8iMQDFQgREZF4YDKZGDNjHnMWrvxrpKUhlC/1nrVjJViZMzozd8JA\nWjSswaVrN2nXawRbdx8CwBQZie+8ZQz0mQ3A+EHd8e7QNEk9L0MkIdMlTCIiInHsUXAI/cbO4sjx\n0xR8Jw9Th/dKljdLvy6j0cjnnVtRpEA+xsyYx+AJczh++jyXr93i8LFT5MqehYlDe+Dm6mLtqCLJ\nigqEiIhIHLpx+w69h0/l0rWbVClXglFffJqsb5b+L6pXLkO+3DnpP9aX5Ru2A1CxdDFG9e1MGsfU\nVk4nkvyoQIiIiMSRX89coO+o6dx/+IhWjWvh3aGZLrP5j/Lkys6C6cP5ctEqMmdIT6vGtbCx0b4U\nsQYVCBERkTiwbc8hRkz5hsjISAZ81o4mdatZO1KilyplCvp0aWXtGCLJngqEiIjIWxQSGsb3a7fw\n9XdrSJ0yBZOH9aRcySLWjiUi8taoQIiIiLyhiAgTBwJOsGXXAXYf/IUnT8LJmikD00b0Jl+enNaO\nJyLyVqlAiIiI/AdRUVEcO3WezbsO4LfXn6DgEABy5chKrSplaVLXA2entFZOKSLy9qlAiIiIxJLZ\nbOa3S9fYsusAW3YfJPDOPQAyOjvRsmFNalUtR4F8uTEYDFZOKiISd1QgREREYnDj9h227DrA5l0H\nLE9EdkydigY1KlOrSjlKFCmg0ZVEJNlQgRAREXmJew+C2L73EJt3HeTEmQsA2NvZ4VHxfWpWKUv5\nUu/hYG9v5ZQiIvFPBUJEROQvIaFh7D4QwOZdBzj8yykio6KwsTFQpnghalYpR9XyJXFMncraMUVE\nrEoFQkREkrWICBM/H/2VLbsOsufQ0xGUAAq556VmlXJUr1yajM5OVk4pIpJwqECIiEiyExUVxS+n\nzrN558/s2Hck+ghKVctRq0o5cmbPYuWUIiIJkwqEiIgkC2azmfO/X2XzrgNs3X2IP/58OoJSpgxO\ntKxei9pVy5HfzVUjKImIxEAFQkREkrTrt/54OuzqroNcuvZ0BKU0jqn4qOYH1KpSjuKF82sEJRGR\n16ACISIiSc7d+w/ZvvcwW3Yd4MTZiwA42NvxYcX3qVmlHOXffw97OzsrpxQRSZxUIEREJEkIDg1j\n94GjbN51EP/nRlAqW6IwNauUo0r5kjimSmntmCIiiZ4KhIiIJFrhEREcOHKCzTt/Zu/hYzwJjwCg\ncH43alYpS/XKZciQPp2VU4qIJC0qECIikqhERUXxy8lz/LTzADv2+/MoOBQAV5ds1KpSjppVymoE\nJRGROKQCISIiCd6zEZR+2vkz23Yf4o+794GnIyg1qFGZ2lXL4543l0ZQEhGJByoQIiKSYJhMJq7f\n+oMr129z+fotrjz7c+M2D4OCgacjKDWs9XQEpWKFNIKSiEh8U4EQEZF4ZTabeRD0iCvXb3Pl+q3n\nisJtbtz6g8ioqGjz29rYkCNrJsoUL0SNymUpV6qIRlASEbEiFQgREYkTERHPziY8VxJu3ObKtVuW\nJz8/L12a1LybPy+5XbLh6pIN1xxZcXXJhku2zNjZ6Z8rEZGEQt/IIiLyn5nNZu4/fPTCmYSr129x\n4/adl59NyJaZYoXdcc2RDVeXpyUht0s2nNKlsdKnEBGR16ECISIiMQqPiPj7bMK1p2cSrv5VGp6N\ngvS8dGkdKVzALdqZBNec2XDJmgmjUf/0iIgkZvoWFxER4OnZhHsPgp47m/B3SbgZeIeoKHO0+W1t\nbXHJlpkShQtYziQ8++OU1tFKn0JEROKaCoSISDJ1MOAEZ367bLns6PL1WwSHvHg2wSltGt4r+I7l\nTEIul6zkdslOjqwZdTZBRCQZ0je/iEgytG7LbsbMmGd5bTTakjNbFkq9V4Bcf112lDtndlxdspIu\njc4miIjI32IsEGazmREjRnDu3Dns7e0ZO3YsOXPmtEzfsWMHc+bMwWg00qRJE7y8vAD4+uuv2bFj\nBxEREbRs2ZImTZrE3acQEZFYM0VGMm/ZBuzt7BjT/1PcXF3InjUTRltba0cTEZFEIMYCsX37dsLD\nw1m6dCnHjx/Hx8eHOXPmAE8f+DN+/HhWr16Ng4MDLVq0wMPDgwsXLvDLL7+wdOlSQkNDmTdvXgxb\nERGR+LJ190Fu3r6DZ10PqpYvZe04IiKSyMRYII4ePUqlSpUAKFq0KCdPnrRMu3jxIq6urjg6Pj29\nXapUKQ4fPszp06dxd3enW7duhISE0K9fvziKLyIiryMqKooFyzdia2NDG8/a1o4jIiKJUIwFIjg4\nmDRp/h6b22g0EhUVhY2NzQvTUqVKRXBwMPfv3+fmzZvMnTuXa9eu0bVrVzZv3hw3n0BERGJt98EA\nLl29Sd0PK5I9SyZrxxERkUTIJqYZHB0dCQn5+4mhz8rDs2nBwcGWaSEhIaRNmxYnJycqVaqE0Wgk\nT548ODg4cO/evX/djq+vLx4eHv/1c4iISAzMZjPzl27AYDDQ3quuteOIiEgC5+Hhga+v7wvvx1gg\nSpQowe7duwE4duwY7u7ulmlubm5cuXKFoKAgwsPDOXLkCMWKFaNkyZLs3bsXgMDAQB4/fkz69On/\ndTve3t74+fm91ocSEZHYOxhwkjMXLlOtQily58xu7TgiIpLA+fn54e3t/cL7MV7CVL16dfbv30/z\n5s0B8PHxYePGjYSFheHl5cXAgQPp2LEjZrMZT09PMmfOTObMmTly5Aienp6YzWaGDx+OwWB4+59K\nRERibf6yDQB0aFbfyklERCQxi7FAGAwGRo4cGe29PHnyWP5/lSpVqFKlygvL9e3b983TiYjIW3Hs\n1Hl+OXmO8qXeI7+bq7XjiIhIIhbjJUwiIpL4zVu6HoCOOvsgIiJvSAVCRCSJO3vhMgeOnqBEkQIU\nLeQe8wIiIiL/QgVCRCSJ+/veh3pWTiIiIkmBCoSISBJ26epNdv58lILv5KFM8cLWjiMiIkmACoSI\nSBK2cMVGzGYzHZvV12h4IiLyVqhAiIgkUTdu32HzzgPkdc1B5bLFrR1HRESSCBUIEZEkavGqH4mM\niqJ903rY2OjrXkRE3g79iyIikgT9ee8BG7buJUfWTFSvXMbacUREJAlRgRARSYK+W/0T4RERtPWq\ni9HW1tpxREQkCVGBEBFJYh4EBbP6x51kzpCeeh9WtHYcERFJYlQgRESSmGXrtxL2+AmtmtTG3s7O\n2nFERCSJUYEQEUlCgkPDWLZ+G05p09CoVhVrxxERkSRIBUJEJAlZvWkHj4JDadGwBilTOFg7joiI\nJEEqECIiScTjJ+EsWbuF1KlS4lXPw9pxREQkiVKBEBFJItZv3c29+w/xqudBGsfU1o4jIiJJlAqE\niEgSEBFhYtHKH3FwsKdlo5rWjiMiIkmYCoSISBLw086fCbxzj0a1qpA+XVprxxERkSRMBUJEJJGL\njIxi4fKNGI22tG5S29pxREQkiVOBEBFJ5Hbs9+fqzUDqelQkS0Zna8cREZEkTgVCRCQRM5vNzF++\nERsbA+286lo7joiIJAMqECIiidi+w8f57ferVK9UhpzZs1g7joiIJAMqECIiiZTZbGb+svUAtG9a\nz8ppREQkuVCBEBFJpI7+epYTZy9SuWxx8uXJae04IiKSTKhAiIgkUvP+OvvQsVl9KycREZHkRAVC\nRCQROnn2Iv7HTlO6WCEK5XezdhwREUlGVCBERBKh+cs3ANBBZx9ERCSeqUCIiCQyFy5dY8/BXyhS\nMB8l3ytg7TgiIpLMqECIiCQyC5ZvBJ7e+2AwGKycRkREkhsVCBGRROTazUC27T3EO3lzUeH9otaO\nIyIiyZAKhIhIIrJwxSaiosx0aFpPZx9ERMQqVCBERBKJ23fusslvH7lyZKVahfetHUdERJIpFQgR\nkUTiu1U/YTJF0s6rLra2+voWERHr0L9AIiKJwL0HQazdspusmTJQp1p5a8cREZFkTAVCRCQR+GHt\nFp48CaeNZx2MRqO144iISDKmAiEiksA9Cg5hxUY/nNOno0GNytaOIyIiyZwKhIhIArdiox8hoWG0\naliTFA721o4jIiLJnAqEiEgCFvb4Cd+v3UIax1Q0qVvN2nFERERUIEREErI1P+3kYVAwzRpUJ3Wq\nlNaOIyIiogIhIpJQhUdE8N3qn0iZwoFmDWpYO46IiAigAiEikmBt3L6PO3cf0LhOVZzSOlo7joiI\nCKACISKSIJkiI1m0YhP2dna0blzb2nFEREQsVCBERBKgbXsOceP2HerXqERGZydrxxEREbFQgRAR\nSWCioqKYv2wDtjY2tGlSx9pxREREolGBEBFJYHYfDODS1ZvUqlqOHFkzWTuOiIhINCoQIiIJiNls\nZv6yjRgMBtp51bN2HBERkReoQIiIJCCHfjnJmd8uUbV8SfLkym7tOCIiIi9QgRARSUDmL9sIQMfm\nDaycRERE5OVUIEREEojjp84TcOIs5Uu9R343V2vHEREReSkVCBGRBGLesg0AdGhW38pJREREXk0F\nQkQkATh38Qo/H/mV4oXzU6yQu7XjiIiIvJIKhIgkSI+fhPPV4tW06TGMgwEnrB0nzs3/6+xDx+Y6\n+yAiIgmb0doBRET+6VDAScbPXsj1W38A4D1kMq2b1KZbW0/s7JLe19alqzfZsf8IBfPlpkzxwtaO\nIyIi8q+S3r/EIpJo/XnvAdO/+YEtuw9ia2NDy0a1+KBsccbOmMd3q37i6PEzjOnflVw5slo76lu1\ncOUmzGYzHZrXx2AwWDuOiIjIv1KBEBGri4qKYs1Pu5i1YAXBIaEUcs/LQO/2lpGIFvuOYvJX37Fh\n215aew/ji65tqPdhxSRxsH0z8A6bd/xMnlzZ+aBsCWvHERERiZEKhIhY1fnfr+Lju4CT5y6SOlVK\n+nVrS+PaVbG1/fsWrVQpUzCs98eULVGYcb4LGDXtWw4FnGRA93Y4pk5lxfRvbtHKH4mMiqJ903rY\n2Oi2NBERSfhUIETEKkLDHvP1kjUsXbuVyKgoanxQht6ftCSjs9Mrl6nxQVkK5Xdj6MQv2bL7ICfO\nXWRMv08pUiBfPCZ/e/6894ANW/eSI2smanxQ1tpxREREYiXGAmE2mxkxYgTnzp3D3t6esWPHkjNn\nTsv0HTt2MGfOHIxGI02aNMHLywuAxo0b4+joCICLiwvjxo2Lo48gIonN7gMBTPpqMYF37pEjayb6\nf9aOciWLxGrZHFkz8fXEQXyzZC3zl2/kk75j6dKmMW0960Y7a5EYLFmzmfCICNp61cVoa2vtOCIi\nIrESY4HYvn074eHhLF26lOPHj+Pj48OcOXMAMJlMjB8/ntWrV+Pg4ECLFi3w8PCwFIdFixbFbXoR\nSVRu37nL5C+/Y/fBAIxGWzo2b0CHZvVJ4WD/WusxGo10bedJ6eKFGDZpLnMWruTQLycZ1bcLmTM6\nx1H6t+tBUDCrNu0gUwYn6n1Y0dpxREREYi3GX9cdPXqUSpUqAVC0aFFOnjxpmXbx4kVcXV1xdHTE\nzs6OkiVL4u/vz9mzZwkNDaVTp060b9+e48ePx90nEJEEzxQZyZLVm2naZSC7DwZQvHB+vp81hq5t\nm7x2eXheyfcKsmT2GD4oW4Kjv56l5WdD2H0g4C0mjzvL128j7PETWjeujb2dnbXjiIiIxFqMZyCC\ng4NJkybN3wsYjURFRWFjY/PCtNSpU/Po0SPy5s1Lp06d8PLy4vLly3zyySds2bJFNwiKJEMnz15k\n3KwF/Pb7VdKldXzrIyg5pXVk0tAerPpxB9O/+YG+o2fgWdeDnh83f6NyEpdCQsNYtn4b6dI60qh2\nVWvHEREReS0xHtE7OjoSEhJief2sPDybFhwcbJkWEhJC2rRpcXV1pUGDBgDkzp0bJycn7ty586/b\n8fX1xcPD4z99CBFJeB4FhzB+9kI69hnNb79fpUGNyqycO5761Su99eFXDQYDnnU9WDB9BG6uLqzc\n5Ef7XiO5cPn6W93O27Jq0w6CgkNo8VENUqZwsHYcERGRl/Lw8MDX1/eF92MsECVKlGD37t0AHDt2\nDHd3d8s0Nzc3rly5QlBQEOHh4Rw5coRixYqxatUqxo8fD0BgYCAhISFkypTpX7fj7e2Nn5/fa30o\nEUl4zGYzW3YdwLPLQFZt2kFul2zMnTCQob064ZQuTcwreAP5cruwYPpwPOt6cPHKddr3GsHKTX6Y\nzeY43e7rePwknCVrt5A6ZQqa1v/Q2nFEREReyc/PD29v7xfej/ESpurVq7N//36aN28OgI+PDxs3\nbiQsLAwvLy8GDhxIx44dMZvNeHp6kjlzZjw9PRk4cCAtW7bExsaGcePG6fIlkWTg2s1AJsxeyKFf\nTuFgb0e3dp60blwbO7v4GzE6hYM9/T9rS9kShRk9/VsmzF7EoYCTDO7ZCae0jvGW41XWb93DvfsP\naedVlzSOqa0dR0RE5LUZzAnoV3PXr1/Hw8MDPz8/XFxcrB1HRGIpPCKCRSt+ZP6yDYRHRFCuZBH6\ndWuLS7bMVs31x5/3GDZ5Lkd/PUvmDOkZ9UUXSr5X0Gp5TCYTjTr1437QI9bPn4KzU1qrZREREXmV\nmI7JdVpARN7I0V/P0Kr7UOZ+t5o0jqkYN6AbM0b1sXp5AMic0ZnZY/vTrZ0nd+8/pOvACXy5cCUm\nk8kqeX7aeYDbd+7SsOYHKg8iIpJo6UnUIvKf3H8YxIz/LWPT9n0YDAaa1v+Qrm2b4Jg6lbWjRWNr\na0OHZvUpVbQgQyZ+xbxlG/A/fprR/bqSI+u/35v1NkVGRrFg+UaMRltaN6kdb9sVERF523QGQkRe\nS1RUFOu27Mar8wA2bd9HfjdX5k8bxhdd2yS48vC8IgXyscR3FDU/KMuJsxdp1X0oW3YdiLft79jv\nz9Ubt6lbrQJZM2WIt+2KiIi8bToDISKxdvHKdcbPWsixU+dJlTIFn3duhVd9D4y2ttaOFiuOqVMx\nut+nlC1ZhIlzFjFk4lccDDjJF13bkCplijjbrtlsZv7yjdjYGGjrVTfOtiMiIhIfVCBEJEaPHz/h\n2x/W8d3qzURGRlK1fCn6fNqKLBmdrR3ttRkMBup9WJEiBfIxdOKXbNy+j19P/8bYAd0okC93nGxz\nv/9xfvv9KjU+KEOuHFnjZBsiIiLxRZcwici/2u9/nGbdBrNwxSYyOTsxdXhvJg7xTpTl4XmuLln5\n35ShtG5Sm6s3A+nw+Si+W/0TUVFRb3U7ZrOZecs2ANChaf23um4RERFr0BkIEXmpO3fvM3XuErbv\n88fWxoa2nnX4uGXDJPXkZDs7Iz07Nad0sUKMmPoNM75dyqGAkwz//BMyOju9lW0EnDjLiTMXqFy2\nOPny5Hwr6xQREbEmnYEQkWgiI6NYtn4bXp0HsH2fP0UK5uM731F4d2yWpMrD88qVLMIPs8dQvtR7\nHAw4SavuQ/n5yK9vZd3zlursg4iIJC0qECJicfbCZTp8PorJX32Hja0Ng3p04NtJg5PFb86dndIy\nbURvenduSVBwCD2HTWHa198THhHxn9d56txFDh87xfvF3qVwAbe3mFZERMR6dAmTiBAcGsZXi1ax\nYuN2oqLM1K5anl6ftEh2DzuzsbGhZcOalCxSgMETvuT7tVs4euIsY/p3JbdLttde3/xlGwHo2KzB\n244qIiJiNToDIZKMmc1mduzzp2mXASxbvw2XrJmZPa4fo77okuzKw/Pyu7myeOZIPqpRmXMXr9DG\nexjrt+7BbDbHeh0XLl1j98EAihRwo+R7BeIwrYiISPzSGQiRZOpm4B0mzVnMPv/j2BmNfNKyIe2a\n1sXB3t7a0RKElCkcGNKrE2VKFGac7wJGT/8fB46eYJB3e9I4po5x+QUrNgHQoVkDDAZDXMcVERGJ\nNyoQIsmMyWRiyZotfPP9Wp48CadU0XcZ8Fk7XF30fIKXqV65DIXy52XoxK/Yvvcwp879zuh+n1L0\n3Xdeucy1m4Fs23OQd/LkpGLpovGYVkREJO7pEiaRZORBUDDteo1k1vzlpErhwMi+nZkzrp/KQwyy\nZ8nE3ImD+LjlRwT+eZcu/cbx7ffriIx8+TMjFq7YRFSUmfZN6+vsg4iIJDkqECLJhCkykkHjZ3P+\n96vUqVaeFV+Pp061CjrAjSWjrS1dWjfmS58BZHB2Yu53q+k2aAK379yNNl/gn/fY5LePXNmz4FHx\nfSulFRERiTsqECLJxPRvfsD/2Gk+KFuC4Z9/Qro0jtaOlCiVKFKA72ePpmr5UgScOEurz4ay8+cj\nlunfrfoJkymSdk3rYWurr1gREUl69K+bSDKwfuselq3fRl7XHIzs2xkbG/2n/ybSpXFkwuDuDOze\nnicREfQb48v4WQu4Ffgna/7f3p2HRVXofxz/DAybDLillhsquWQmLpW2WCrhlpUbiSW5lppyW8yr\npKlZhNpmoVRmZZqGmplpWubeNfOiXi3XygiL0lRUGFS2Ob8/+jWpYKCCZ5h5v56n53HmcGY+59th\n5nyYMzOfr1e1KpXUud2tZscEAKBU8CZqwM3t3POD4qfPVrAtUC+Pf0yB5QLMjuQWLBaLenRpp2ZN\nGmjs5EQtXrFOn63ZpOzsHD3Uq4t8fHh4BQC4J/4MCbixw0fT9e+4BBkOQy/EDlfNa6qZHcnt1Ktd\nQ41NzXUAACAASURBVLOnTdD999ylM9k5qlQhWPd2uNPsWAAAlBr+RAa4qTPZORo16TWlHz+pJx95\nUK2aX292JLfl5+urUcOi1bndrbIFBsjfj+/SAAC4LwoE4IYMw9Dzr72rvT/+rHsi2ijqvgizI3mE\nJo1CzY4AAECp4xQmwA19sHilvli/WTc0CtWYEf34qFYAAFBiKBCAm9mUvFMJ7y1U1coVNXXcv+Tr\n42N2JAAA4EYoEIAb+fnX3zVu6pvysVo19Zl/6apKFcyOBAAA3AwFAnATmfYsjXx2muxZpzTu8YG6\nvkE9syMBAAA3RIEA3EB+vkPjpr6pg2mHFN2zC19iBgAASg0FAnADie8v0tdbv9UtLW/Q8P6RZscB\nAABujAIBlHEr132tOR+tUO0aVytu9DB5e/NrDQAASg9HGkAZtuf7FMW99q4CywXo5QmPK8gWaHYk\nAADg5igQQBl1NP2ERj33mnJy8xQ3epjq1LzG7EgAAMADUCCAMignN1f/jkvQH8eOa0T/SN12U5jZ\nkQAAgIegQABljGEYmjJjjr7b+6M6tr1F0b26mB0JAAB4EAoEUMYs+PRLfbpqo667to7GPTZQFovF\n7EgAAMCDUCCAMuS/O3Zr2tsfqlLF8npx/GPy9/M1OxIAAPAwFAigjPj19z/0dPwMWbwsmjo2RtWu\nqmR2JAAA4IEoEEAZkHXqtEZOmqaTmVkaM7yfwhrXNzsSAADwUBQIwMU5HA5NeGmmfkpNU+97I3Rf\nxzvNjgQAADwYBQJwcW/P/0QbvtmuG8Ma6/HBUWbHAQAAHo4CAbiwtf9J1qz5S1Xj6iqKjx0uq9Vq\ndiQAAODhKBCAi/r+p4Oa8PJMBfj76aXxj6tCsM3sSAAAABQIwBUdP5mhpya9pjPZOXr2qUd0bZ2a\nZkcCAACQRIEAXE5eXp7GvDBDv/9xVI/07a52t95odiQAAAAnCgTgYl5+a762f7dP7W+7UYOi7jU7\nDgAAwDkoEIAL+XjlOn302RrVr1tLE558WF5e/IoCAADXwtEJ4CL+t2u/pibOVflgm1585jGVC/A3\nOxIAAEABFAjABRz645hGxyVIkqY8PUI1rq5iciIAAIDCUSAAk505k62nnntNx09mauSQB9Wy6XVm\nRwIAALggCgRgIsMwNGnaO9p/IFXdO7dVr7vbmx0JAADgH1EgABPNXrhcX27combXN9CoodGyWCxm\nRwIAAPhHFAjAJBu3/E9vzFmsalUqacrYGPn4WM2OBAAAUCQKBGCCnw6mafzUN+Xr66OXxz+uShWC\nzY4EAABQLBQI4ArLyMzSU5NeU9bpMxr/+GA1DA0xOxIAAECxUSCAKygvP19PT56hX347rAG971GH\nO1uZHQkAAOCiUCCAKyjh3YXa8r/datOqmYZG9zA7DgAAwEWjQABXyGdr/qP5Sz5X3VrVNWnUUHl5\n8esHAADKHo5ggCtg174DeuH12QqyldNL4x+TrVyA2ZEAAAAuSZEFwjAMTZgwQVFRUXrooYf0yy+/\nnLN87dq16tWrl6KiorRo0aJzlh07dkxt27ZVSkpKyaYGypAjx45r1POvKy8/Ty+MeVS1a1xtdiQA\nAIBLVmSBWL16tXJycpSUlKSRI0cqPj7euSwvL0+TJ0/W7NmzNXfuXC1YsEDp6enOZRMmTJC/v3/p\npQdcXHZOjkY997qOpp/QY4Oi1LrFDWZHAgAAuCxFFoht27apTZs2kqSwsDDt2rXLuezAgQMKCQmR\nzWaTj4+PWrZsqeTkZEnSlClT1KdPH1WtWrWUogOuzTAMxSfM1u7vf9Ld4bepT7eOZkcCAAC4bEUW\nCLvdrqCgIOdlq9Uqh8NR6LLAwEBlZmZqyZIlqly5sm677TYZhlGsIAkJCQoPD7/Y/IDLmr/kC322\nZpOaNAxVbEx/WSwWsyMBAAAUW3h4uBISEgpcX2SBsNlsysrKcl52OBzOT4+x2Wyy2+3OZVlZWQoO\nDtbHH3+sTZs2KTo6Wvv27dPo0aN17Nixf7yfmJgYrVmzptgbBLiyzdu+0+vvJumqShU0dVyM/Hx9\nzY4EAABwUdasWaOYmJgC11uLWrFFixZat26dOnXqpB07dqhBgwbOZaGhoUpNTVVGRob8/f2VnJys\nQYMGqUOHDs6fiY6O1qRJk1S5cuUS2hTAtR1MO6SxUxJl9bbqpWf+pSqVK5odCQAAoMQUWSAiIiK0\nadMmRUVFSZLi4+O1fPlynT59WpGRkYqNjdXAgQNlGIYiIyMLvOeB0zbgSeynTuupSa8p035KE0c+\nrOsbhpodCQAAoEQVWSAsFoueffbZc66rW7eu899t27ZV27ZtL7j+nDlzLj0dUIbk5zv0zNQ3lfLL\nb3qgeyfdHX672ZEAAABKHF8kB5SQN+cu1n/+u0OtWzRRzMD7zY4DAABQKigQQAlYtWGLZi9crtrV\nqylu9KOyenubHQkAAKBUUCCAy7T/QKomTZulwAB/vTT+cQUHBZodCQAAoNRQIIDLcPpMtmLjZygn\nJ1fP/XuY6taubnYkAACAUkWBAC7Da+8k6ZffDiu6Z2e1adXM7DgAAACljgIBXKLN277T4s/WKjSk\npoZE9zA7DgAAwBVBgQAuwclMu56bNktWq7cmjRoiXx8fsyMBAABcERQI4BK8mDhXR46d0JC+PdSg\nXm2z4wAAAFwxFAjgIq3asEVfbPhGTa+7VtE9u5gdBwAA4IqiQAAX4cix45oy4335+/lq4shH5O3N\nrxAAAPAsHP0AxWQYhp6b9o4y7Fl6fHAf1apezexIAAAAVxwFAiimJSvXa/O279S65Q3q0aWd2XEA\nAABMQYEAiuGX3w7r1bfnK9gWqPGPD5LFYjE7EgAAgCkoEEAR8vMdmvjyTJ3JztHo4f1UpXJFsyMB\nAACYhgIBFGHu4hX6du+P6nBnK3W4s5XZcQAAAExFgQD+wfc/HdRbH3ysqypV0L8ffcjsOAAAAKaj\nQAAXkJObqwkvvaW8vHw98/gglQ+ymR0JAADAdBQI4ALe+mCJfvz5V/Xs0k633tjU7DgAAAAugQIB\nFGLH7u8196MVqnlNVf1rUJTZcQAAAFwGBQI4z6nTZzTx5ZmyWKSJIx9RuQB/syMBAAC4DAoEcJ5p\nsz5U2qEjeqjX3QprXN/sOAAAAC6FAgGcZVPyTi1ZuV7169XWIw92NzsOAACAy6FAAP/vRIZdz017\nRz5Wq54d+bB8fKxmRwIAAHA5FAhAkmEYmjJ9to4dP6mh0T1Uv25tsyMBAAC4JAoEIGnVhm+0+j/J\nCmtcXw/26Gx2HAAAAJdFgYDH++NouqYkzlGAv58mjnxY3t78WgAAAFwIR0rwaIZh6Llp7yjTfkqP\nP9xHNa+pZnYkAAAAl0aBgEf76LO1+mb7Lt12U5i6d2prdhwAAACXR4GAxzqYdkivvZOk8kGBGvfY\nQFksFrMjAQAAuDwKBDxSXn6+Jr48U9nZORozor+uqlTB7EgAAABlAgUCHmnuRyv03b4D6tj2Ft3V\n5maz4wAAAJQZFAh4nP0HUvXWB0tUpXIF/XtYtNlxAAAAyhQKBDxKdk6Oxr/0lvLz8zX+icEKDgo0\nOxIAAECZQoGAR3lz7sf6KTVNve4OV+sWN5gdBwAAoMyhQMBjbP9un+Z9/LlqV6+mfw3qbXYcAACA\nMokCAY+Qdeq0nn3lbVks0sSnHlGAv5/ZkQAAAMokCgQ8wqtvf6jfDh9V/8iuuqHRtWbHAQAAKLMo\nEHB7X23ZoaVfbFCDerU1+IFuZscBAAAo0ygQcGvHT2bo+dfflY/VqmefGiIfH6vZkQAAAMo0CgTc\nlmEYik94X+nHT2pYv566tk5NsyMBAACUeRQIuK2V677Wuq+3qvn1DfRAt05mxwEAAHALFAi4pUNH\njunFNz5QuQB/TRj5iLy92dUBAABKAkdVcDsOh0OTXp0le9YpPfnIA6pxdRWzIwEAALgNCgTczqLl\na5S8Y49uv7mZ7u1wh9lxAAAA3AoFAm7l519+U8K7C1Q+2Kax/xogi8VidiQAAAC3QoGA28jLz9eE\nl2cqOydXT4/or6sqVTA7EgAAgNuhQMBtzF6wXHu+T1Hndreq/e03mR0HAADALVEg4Bb2/pCiWR8u\nVdWrKmnUsL5mxwEAAHBbFAiUeWeyczThpZnKz8/X+CcGK8gWaHYkAAAAt0WBQJn3xvsfKeWX39T7\n3gi1an692XEAAADcGgUCZdrWnXs1/5MvVLvG1RrRP9LsOAAAAG6PAoEyy37qtJ595W15e3lp0lOP\nyN/fz+xIAAAAbo8CgTLrlbfm6dCRY+rf+x5d3zDU7DgAAAAegQKBMmnD5u1a9uVXanRtiAb3udfs\nOAAAAB6DAoEyJ/1EhuJef1e+Pj569qkhslqtZkcCAADwGBQIlCmGYSg+4T0dP5mp4f17qV7tGmZH\nAgAA8ChF/unWMAxNnDhR+/fvl6+vr+Li4lSrVi3n8rVr1yoxMVFWq1U9e/ZUZGSkHA6Hxo0bp5SU\nFHl5eenZZ5/VtddeW6obAs/w2ZpNWr95u1rc0EhR93UwOw4AAIDHKfIViNWrVysnJ0dJSUkaOXKk\n4uPjncvy8vI0efJkzZ49W3PnztWCBQuUnp6utWvXymKx6MMPP9Rjjz2mV155pVQ3Ap7h98NH9dKb\nHygwwF8TnhwsLy9eQAMAALjSinwFYtu2bWrTpo0kKSwsTLt27XIuO3DggEJCQmSz2SRJLVu2VHJy\nsjp27Kj27dtLktLS0lS+fPnSyA4P4nA4NOnVWco6dVrPPD5I1atVMTsSAACARyryT7h2u11BQUHO\ny1arVQ6Ho9BlgYGByszM/POGvbw0ZswYxcXF6Z577ikySEJCgsLDwy96A+AZFny6Wlu/3as7WjfX\nPRFtzI4DAADg9sLDw5WQkFDg+iJfgbDZbMrKynJedjgczlNHbDab7Ha7c1lWVpaCg4OdlydPnqxj\nx44pMjJSK1askL+//wXvJyYmRt27d6dEoICUg79pxuyFqlg+SE/HDJDFYjE7EgAAgNtbs2aNatas\nWeD6Il+BaNGihTZs2CBJ2rFjhxo0aOBcFhoaqtTUVGVkZCgnJ0dbt25Vs2bNtHTpUs2cOVOS5Ofn\nJy8vL85XxyXJy8vThJfeUnZOrmJj+qtyRU6HAwAAMFORr0BERERo06ZNioqKkiTFx8dr+fLlOn36\ntCIjIxUbG6uBAwfKMAz16tVLVatWVYcOHRQbG6u+ffsqLy9PY8eOla+vb6lvDNzPu0nLtPfHn3X3\nXber3a03mh0HAADA4xVZICwWi5599tlzrqtbt67z323btlXbtm3PWR4QEKBp06aVTEJ4rN3f/6R3\nkz5VtSqV9NSQB82OAwAAAPFFcnBRZ7JzNOGlmcp3ODThiYdlCyxndiQAAACIAgEXNWP2IqX++rui\n7uugm5o1NjsOAAAA/l+RpzABV5JhGJq/5AslLV2lOrWu0fD+kWZHAgAAwFkoEHAZ9lOn9dyrs7R2\n01ZVrlhecaMflb8fb74HAABwJRQIuIQff/5Vo+MSdDDtkJpf30AvxA7XVZUqmB0LAAAA56FAwHQr\n132tF15/T2eyc9S3Z2cN79dLViu7JgAAgCviKA2mycnN1bS3P9Si5WsUGOCvKWNj1P42vusBAADA\nlVEgYIpDR44p9oUZ2rX/gEJDamrK2BiF1Lza7FgAAAAoAgUCV9yW7bs0duobOplhV+d2tyo2pr8C\n/P3MjgUAAIBioEDginE4HHpvwTK99cESeXt7afTwh9SzS3tZLBazowEAAKCYKBC4Ik5m2jXhpZna\nlLxT1apU0pSnR+j6hqFmxwIAAMBFokCg1O39IUVjXpiu3w4fVesWTfTcqKGqUD7I7FgAAAC4BBQI\nlBrDMLT0iw168Y0PlJuXp8EP3KfBfbrJ29vL7GgAAAC4RBQIlIoz2TmamjhHy778SuWDAjX1qRjd\ndlOY2bEAAABwmSgQKHG//n5Y/46brh9+Oqjrrq2jyWNHqHq1KmbHAgAAQAmgQKBEbfhmuya+/Lbs\nWafUo3M7PTnkAfn5+podCwAAACWEAoESkZefr7fmfqzZC5fLz9dHE558WF3vut3sWAAAAChhFAhc\ntvQTGRo75Q1t3blHNa+pqiljY9SgXm2zYwEAAKAUUCBwWXbu+UGx8dN15NgJ3dm6hSY8OVhBtkCz\nYwEAAKCUUCBwSQzD0IJPv9S0WUkyDIdiBtyv6F5d+FZpAAAAN0eBwEU7dfqMnn/tXX25cYsqVQjW\nC2MeVcum15kdCwAAAFcABQIXJeXgbxodl6CUX35TWOP6io8driqVK5odCwAAAFcIBQLFtmrDFj3/\n2js6fSZbD3TrqJiB98tqZRcCAADwJBz9oUi5uXl6/d0FSlq6SuUC/BUfO1x3tbnZ7FgAAAAwAQUC\n/+iPo+mKjZ+hb/f+qLq1q2vq2BjVqVXd7FgAAAAwCQUCF5S8Y4/GTknU8ZOZ6nhnaz39rwEqF+Bv\ndiwAAACYiAKBAhwOh95f9JnenLtYXl5eGjWsryK73sVHtAIAAIACgXNlZGZp4isz9dWWHapauaLi\nnx6hptdda3YsAAAAuAgKBJz2H0jV6LgEpR06opuaNVbc6GGqWD7Y7FgAAABwIRQISJI+XbVRUxPn\nKDsnVwN736NH+vaQt7eX2bEAAADgYigQHi47J0cvvvGBln6xQUG2coqPHaE2rZqZHQsAAAAuigLh\nwdIOHdGYFxK078dUNQwN0eSnR6jmNVXNjgUAAAAXRoHwUP/57w6Nf+ktZdpP6b4Od+ipYdHy9/M1\nOxYAAABcHAXCw+TnOzRz3hK9m/SpfH18NO6xgbqv451mxwIAAEAZQYHwIMdPZmjclDf13x27Vf3q\nKpo6NkYNQ0PMjgUAAIAyhALhIXbvP6B/x03XH0fT1aZVM0188hEFBwWaHQsAAABlDAXCA9izTunx\nCa8qw27Xo/16qV/k3fLy4iNaAQAAcPEoEB5g7uKVOpGRqWEP9dSA3veYHQcAAABlGH+GdnNH009o\n/pLPVbliefXp1tHsOAAAACjjKBBu7t2kT3UmO0eDH7hPAf5+ZscBAABAGUeBcGO//n5YH69cr1rV\nq6kbH9UKAACAEkCBcGNvzvlY+fn5GhrdU1Yrb3cBAADA5aNAuKn9B1L1xYZv1DA0RHe1ucnsOAAA\nAHATFAg3NWP2IknSiAGRfGQrAAAASgxHlm5o27d7tXnbd7oxrLFaNW9idhwAAAC4EQqEmzEMQ9Pf\n+/vVB4vFYnIiAAAAuBMKhJtZv3mbdu0/oPa33ajrG9QzOw4AAADcDAXCjeTl5yvx/Y/k7eWlYf16\nmR0HAAAAbogC4UZWrNmkn3/5Xfd0aKM6Na8xOw4AAADcEAXCTZzJztFbHyyRn6+PHn6gm9lxAAAA\n4KYoEG5i0fLV+uNounrfG6GqV1UyOw4AAADcFAXCDWTaszR7wXIF2cqpX2RXs+MAAADAjVEg3MDc\nxSuVYc/SQ73uVnBQoNlxAAAA4MYoEGXc0fQTmv/JF6pSuYKi7o0wOw4AAADcHAWijJv14VJlZ+do\n8APd5O/vZ3YcAAAAuDlrUT9gGIYmTpyo/fv3y9fXV3FxcapVq5Zz+dq1a5WYmCir1aqePXsqMjJS\neXl5evrpp5WWlqbc3FwNHTpU7du3L9UN8US//HZYn3y+QbWrV9O9EW3MjgMAAAAPUGSBWL16tXJy\ncpSUlKSdO3cqPj5eiYmJkqS8vDxNnjxZH3/8sfz8/NSnTx+Fh4dr/fr1qlixoqZOnaqTJ0+qW7du\nFIhS8MacxcrPz9ewfr1ktRb5vxIAAAC4bEUedW7btk1t2vz51+2wsDDt2rXLuezAgQMKCQmRzWaT\nJLVs2VLJycnq3LmzOnXqJElyOBwc3JaCfT/+rC83btF119ZR+O03mR0HAAAAHqLII3u73a6goKC/\nV7Ba5XA45OXlVWBZYGCgMjMzFRAQ4Fz3scce0xNPPFEK0T3bjNmLJEnDB9wvi8VichoAAAB4iiLf\nRG2z2ZSVleW8/Fd5+GuZ3W53LsvKylJwcLAk6ffff1e/fv3UvXt3denSpcggCQkJCg8Pv+gN8ETJ\nO/bom+27dHOz69Wq+fVmxwEAAIAbCg8PV0JCQoHriywQLVq00IYNGyRJO3bsUIMGDZzLQkNDlZqa\nqoyMDOXk5Cg5OVnNmjXT0aNHNWjQII0aNUrdu3cvVsCYmBitWbOmuNvjsQzD0PTZCyVJw/tHmpwG\nAAAA7mrNmjWKiYkpcH2RpzBFRERo06ZNioqKkiTFx8dr+fLlOn36tCIjIxUbG6uBAwfKMAxFRkaq\natWqiouLU0ZGhhITEzVjxgxZLBbNmjVLvr6+Jb9lHmbdpq3a832K7rr9JjVuUNfsOAAAAPAwFsMw\nDLND/OXXX39VeHi41qxZo5o1a5odx+Xk5ecrathY/frbYS14M14hNa82OxIAAADcTFHH5HyRXBmy\n7MuvlPrr77qv452UBwAAAJiCAlFGnMnO0dvzlsjPz1eDH7jP7DgAAADwUBSIMmLhp1/qyLETiro3\nQlUqVzQ7DgAAADwUBaIMyMjM0uxFyxVsC1S/yLvNjgMAAAAPRoEoA+Z89Jky7afUL/JuBdkCzY4D\nAAAAD0aBcHFHjh1X0qdfqmrlirr/3giz4wAAAMDDUSBc3NvzP1F2do4efrCb/P34Hg0AAACYiwLh\nwlJ/PaRPv9iokJrXqGtEG7PjAAAAABQIV/bmnI+U73Do0Yd6yurtbXYcAAAAgALhqvZ8n6LV/0lW\n4wZ11e62G82OAwAAAEiiQLisGbMXSZJG9L9fFovF5DQAAADAnygQLmjL/3brvzt2q3WLJrqpWWOz\n4wAAAABOFAgX43A4NOO9hZKkEQPuNzkNAAAAcC4KhItZu2mr9v74szrc2UoNQ0PMjgMAAACcgwLh\nQvLy8vTG+x/J29tbQ6N7mh0HAAAAKIAC4UI+XfWVDv52WN063ala1auZHQcAAAAogALhIs6cydbb\n8z+Rv5+vBve5z+w4AAAAQKEoEC4i6dMvdTT9hPp066irKlUwOw4AAABQKAqECziZadf7iz5T+aBA\nPdSri9lxAAAAgAuiQLiAOYs+kz3rlPr3vke2wHJmxwEAAAAuiAJhssNH07Xg0y9V9apKiuwabnYc\nAAAA4B9RIEz29rxPlJ2TqyF9u8vP19fsOAAAAMA/okCY6OdfftOyLzeqbq3q6hJ+m9lxAAAAgCJR\nIEz0xpzFcjgMDevXU1Zvb7PjAAAAAEWiQJhk9/4DWrtpq25oFKq2t7Q0Ow4AAABQLBQIExiGoenv\nLZIkDR9wvywWi8mJAAAAgOKhQJhgy/92aeu3e3VLyxvU8oZGZscBAAAAio0CcYU5HI6/X33oH2ly\nGgAAAODiUCCusNVf/Vf7D6SqY9tb1DA0xOw4AAAAwEWhQFxBeXl5emPOYnl7e2todHez4wAAAAAX\njQJxBX3yxQb9+vsf6tG5rWpeU83sOAAAAMBFo0BcIafPZGvW/KUK8PfToD73mR0HAAAAuCQUiCsk\naekqHTt+Un26dVTliuXNjgMAAABcEgrEFXAiw673F32m8sE2RffqYnYcAAAA4JJRIK6A2QuXKevU\naQ3sfY9s5QLMjgMAAABcMgpEKTt05JgWLVujalUqqefd7c2OAwAAAFwWCkQpe3veJ8rJzdWQvj3k\n5+trdhwAAADgslAgStFPB9O0fPVXqlu7urq0v83sOAAAAMBlo0CUojfmLJbDYWh4v0h5ezNqAAAA\nlH0c1ZaS7/b9qPVfb1PT667VHa2bmx0HAAAAKBEUiFJgGIamv7dIkjRiwP2yWCwmJwIAAABKBgWi\nFGze9p22f7dPt90UpuZNGpodBwAAACgxFIgS5nA4NH32IlksFg3v38vsOAAAAECJokCUsFUbtuiH\nnw6qU9tbVL9ubbPjAAAAACXKJQvEynVf64eUg8rPd5gd5aLk5ubpzbmLZbV6a0h0D7PjAAAAACXO\nanaAwrw5Z7FmfviZbIHldEOjUIU1rq+wxg10fcN6CvD3MzveBS35fL3SDh1R73sjVOPqKmbHAQAA\nAEqcSxaIR/tH6pfDx/Xtnh+0edt32rztO0mSt7e3GtSr/f+F4s//qlSuaHLaP506fUbvfLhU5QL8\nNTDqXrPjAAAAAKXCJQtExztbq2bNmpKkY8dP6tu9P2jnnh/07Z4ftPfHn7X3hxQlLV0lSap+dRWF\nXfd3oagXUkNeXlf+zKwPP/lC6Scy9PAD3VSpQvAVv38AAADgSnDJAnG2yhXLq92tN6rdrTdKks5k\n52jvDynauecH7dz9vb7d+6NWrvtaK9d9LUnnnPbU7PoGur5BPfmX8mlPJ05mau5HK1QhOEgP9OhU\nqvcFAAAAmMnlC8T5/P181bxJQ+f3KzgcDv386+9/For/f5Xi/NOeGobWdr6PIqxxfV1VqUKJZnpv\nwTJlnT6jJ6N7ylYuoERvGwAAAHAlZa5AnM/Ly0v1atdQvdo11L1TW0mFn/a05/sUffhJIac9Xd9A\n9WpXv+TTnn4/fFSLlq/RNVWvUs+725XUZgEAAAAuqcwXiMIUdtrTnu9/chaK8097CrKV0w2NrnW+\nj+JiTnuaOW+JcvPyNCS6u3x9fEptmwAAAABX4JYF4nz+fr5qcUMjtbihkaTCT3v6euu3+nrrt5KK\nf9rTgdRftWLtJoWG1FSntrde0W0CAAAAzOARBeJ8/3Ta047dfxaKfQfOPe2pxtVVnIWiaeP6qle7\nuhLf/0gOh6Hh/SPl7e2S38kHAAAAlCiPLBCFKc5pTyvWfq0Va/8+7SnTfkphjevr9pvDzIwOAAAA\nXDEUiAsozmlPOTm5emxwlCwWi8lpAQAAgCujyAJhGIYmTpyo/fv3y9fXV3FxcapVq5Zz+dq1a5WY\nmCir1aqePXsqMjLSuWznzp166aWXNHfu3NJJfwUVdtqTw+Ew5UvrAAAAALMUWSBWr16tnJwcXGwC\nvwAADF9JREFUJSUlaefOnYqPj1diYqIkKS8vT5MnT9bHH38sPz8/9enTR+Hh4apUqZJmzZqlpUuX\nKjAwsNQ3wiyUBwAAAHiaIo+At23bpjZt2kiSwsLCtGvXLueyAwcOKCQkRDabTT4+PmrZsqWSk5Ml\nSSEhIZoxY0YpxQYAAABghiJfgbDb7QoKCvp7BavVeerO+csCAwOVmZkpSYqIiFBaWtpFhcnPz5ck\nHTp06KLWAwAAAFAy/joW/+vY/HxFFgibzaasrCzn5bPP+7fZbLLb7c5lWVlZCg4OvqSgCQkJmj59\nuiTpwQcfvKTbAAAAAFAyOnTooBEjRigmJuac64ssEC1atNC6devUqVMn7dixQw0aNHAuCw0NVWpq\nqjIyMuTv76/k5GQNGjTonPUNwyhWwJiYGD388MMKCwvTqlWr5O3tXaz1UHzh4eFas2aN2THcErMt\nPcy2dDHf0sNsSw+zLT3MtvSUpdnm5+fryJEjatKkifz9/QssL7JAREREaNOmTYqKipIkxcfHa/ny\n5Tp9+rQiIyMVGxurgQMHyjAMRUZGqmrVquesfzEfcerv768RI0YoJCSk2Oug+EaMGKGaNWuaHcMt\nMdvSw2xLF/MtPcy29DDb0sNsS09Zm+0/HY9bjOK+RAAAAADA4/E5pAAAAACKjQIBAAAAoNgoEAAA\nAACKjQIBAAAAoNgoEAAAAACKjQIBAAAAoNiK/B6IohiGoYkTJ2r//v3y9fVVXFycAgMDNW7cOGVm\nZio/P19TpkxRrVq1Cl0/Pj5e9erVU+/evSVJcXFx2r59uwIDAyVJiYmJstlsBdZLT09Xnz59tGzZ\nMvn6+kqS7rjjDtWpU0eS1Lx5cz3xxBOXu3mmKmy2WVlZmjBhgqxWq+rUqaO4uLgC6x08eFBjxoyR\nl5eX6tevrwkTJkiS5s2bpyVLlsjLy0sDBgxQ586dC71fT53tX/vosmXLNG/ePCUlJRVYb+/evXr+\n+efl7e0tX19fTZ06VX/88Yfi4uJksVhkGIZ27typxMRE3X777QXW98TZPv/885o2bZqOHj0qwzCU\nlpam5s2b6+WXXz5nPWZbPCW571aqVEkLFy7UggUL5OPjo6FDh6pt27aF3q8nzPdSn88u9JgrFT63\n83nqbO12u4YMGeLczj59+lzween8Y4V3331Xy5cvl7e3t4YMGaK77rqr0PU8dbbF2W8v9Jgwe/Zs\nrVixQhaLRXfccYeGDx9e6P164myL+3z2l/P3W7c6DjMu06pVq4wxY8YYhmEYO3fuNIYNG2aMGTPG\nWLlypWEYhvHNN98Y69evL7DesWPHjMGDBxsRERFGUlKS8/o+ffoYx48f/8f7/Oqrr4xu3boZLVu2\nNLKzsw3DMIzU1FRj6NChl7s5LqWw2Y4YMcLYuHGjYRiGMXLkSGPdunUF1hs6dKiRnJxsGIZhjB8/\n3vjyyy+N9PR0o2vXrkZ+fr5ht9uNO++8s9D79MTZ7tixwxg2bJhhGIaxe/duo1+/fkbv3r0LXa9v\n377Gvn37DMMwjKSkJCM+Pv6c5StXrjSeeuqpQtf19NkahmGcPHnS6Natm3H06NEC6zHb4impfXfy\n5MnGkSNHjK5duxq5ublGZmam0bVrVyMnJ6fAup4y30t9PivsMdcwCp/b+Txxtn/ttwsXLjTee++9\nf1yvsGOFjIwMo23btkZeXp5x8uRJo127doWu64mzvZj9trDHhIMHDxo9e/Z0/kxUVJSxf//+Aut6\n4mwv5vmssP3W3Y7DLvsUpm3btqlNmzaSpKZNm2rXrl3avn27Dh06pAEDBmj58uVq1apVgfVOnTql\nmJgY3XvvvWeXGaWmpmr8+PHq06ePFi9eXOh9ent7a/bs2Spfvrzzul27dunw4cN66KGHNGTIEKWk\npFzuppmusNled911On78uAzDUFZWlqzWgi8i7d69WzfeeKOkPxvr5s2bVbFiRS1dulReXl46cuSI\n/Pz8Cr1PT5xtWFiYdu/erRMnTmjatGkaO3bsBdd79dVX1bBhQ0lSXl7eOXM8ffq0EhISLri+p852\n165dzmWvv/66+vbtq8qVKxdYj9kWT0ntu76+vvr222/VsmVLWa1W2Ww21alTR/v37y+wrqfM91Kf\nzwp7zJUKn9v5PHG2fz0u7NmzR+vWrVPfvn01duxYnTp1qsB6hR0rBAQEqEaNGsrKytKpU6fk5VX4\noYwnzvZi9tvCHhOqV6+uWbNmOX/m/Mfiv3jibC/m+ayw/dbdjsMuu0DY7XYFBQU5L3t7e+vgwYOq\nUKGC3nvvPV199dWaOXNmgfVq1qyppk2bnnPdqVOnFB0drRdffFGzZs3S/Pnz9f333xdY95ZbblH5\n8uVlnPUl2lWrVtWQIUM0Z84cPfLIIxo1atTlbprpCpttjRo1FBcXp7vvvlvp6em6+eab//E2AgMD\nlZmZKUny8vLSvHnzFBUVdc5OfTZPna3FYtGYMWM0ZswYBQQEnLP9Z7vqqqskSdu3b9f8+fPVv39/\n57KPPvpInTt3VoUKFQpd11Nna7Va5XA4lJ6eri1btqhHjx6Frsdsi6ck993zb6tcuXLOx4uzecp8\nL/X57GxnP+YWNrfzefJsGzdurNGjR+uDDz5QrVq1lJCQUGC9wo4VJKlatWrq0qWLevbsqejo6ELv\n05NnW5z9trDHBG9vb+fj7JQpU9S4cWOFhIQUWNdTZ1vc57ML7bfudBx22e+BsNlsysrKcl52OByq\nXLmy2rVrJ0lq3769Xn31Va1atUpz5851Ptk1bty4wG0FBAQoOjpafn5+8vPzU+vWrbVv3z7NmTNH\nqampqly5sqZNm+b8eYvF4vx3kyZN5O3tLUlq2bKljhw5crmbZrrCZjt16lTNnz9foaGhmjdvniZP\nnqxWrVrpgw8+kMVi0ejRo8/5a0xWVpaCg4Odlx988EH17t1bgwcP1pYtW7Rs2TJmK+nEiRNKS0vT\nxIkTlZ2drQMHDig+Pl4tWrRwzvav/XbFihV66623NHPmTFWsWNF5G8uWLTvnCXDcuHHMVn/ut15e\nXvr888/VtWtX5/Z/8cUXzPYSlOS+a7PZZLfbnbf11+OFp873Up7PinrMlc6dG7P9k8PhUOfOnZ3v\ncYyIiNBzzz1XrGOFjRs36ujRo1q3bp0Mw9CgQYPUvHlzLVy4kNnq4o7DCnvMzcnJUWxsrIKCgjRx\n4kRJ7Ld/uZjnswtxl+Owyy4QLVq00Lp169SpUyft2LFDDRs2VEBAgNavX6/77rtPycnJql+/vjp0\n6KAOHTr8422lpKToiSee0NKlS5WXl6dt27apR48eF2xpZ7ez6dOnq0KFCho8eLD27duna6655nI3\nzXTnz7ZBgwZKS0tzvsG8WrVq+t///qeOHTuqY8eOzvWuu+46JScn66abbtLGjRvVunVrpaSk6JVX\nXlFCQoLzDVPe3t56/vnnC71vT5vtzTff7PwLTVpamkaOHKnY2FhJOme2S5cu1cKFCzV37txzDhLs\ndrtyc3NVrVo153XM9u/9VpI2b96sRx991Plz5++3zLZ4SnLfbdq0qaZNm6acnBxlZ2frp59+Uv36\n9T12vpf6fFbYY+7Zzp4bs/17toMGDdLYsWPVtGlTbd68WU2aNCnWsUJwcLD8/f3l4+MjSQoKCpLd\nbme2F7nfXugxd9iwYbrllls0ePBg53XM9uKezwrjbsdhl10gIiIitGnTJkVFRUn68x3nfn5+Gjdu\nnJKSkhQUFHTBd6efLzQ0VN26dVNkZKR8fHzUvXt3hYaGXvDnz25nf72ks2HDBlmtVsXHx1/ehrmA\nwmZ7/PhxPfHEE7JarfL19dVzzz1XYL3Ro0frmWeeUW5urkJDQ9WpUydZLBY1atRIvXv3dn6ywl/n\n7BbGE2dbFIfDoRdeeEHVq1fX8OHDZbFYdPPNN2vEiBFKSUlRjRo1inXfnjbbyZMnS5J+/vnnC34a\nG7MtvpLed6Ojo/XAAw/IMAw9+eSTF/ykIMn953upz2eFPeae7ey5XYgnzvbMmTOaNGmSfHx8VKVK\nFU2aNKlYt3XjjTdq8+bNuv/+++Xl5aWWLVvq1ltvveDPe+Jsi9pvL/SY0KhRI23dulW5ubnasGGD\nLBaLRo4cqbCwsELv29NmW5znswupW7euWx2HWYx/OjkTAAAAAM7CF8kBAAAAKDYKBAAAAIBio0AA\nAAAAKDYKBAAAAIBio0AAAAAAKDYKBAAAAIBio0AAAAAAKLb/A8ieijrVlg1lAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x4040f136a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OZNiwYWzevBmTyUTLli0T/KySiKRdJsu/uf4rIiIiIiLpUrxXICwWCyNHjuT8+fPY2toy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\njAIBAAAAwGEUCAAAAAAO+z8t74XkKliZtwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x4040f5cdd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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+3GTJmC5Gbs1SqRARERGCgh/h43uI7FkyUszN9aXrPS0WVius2ODFxwMnqFi8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\n7zQ7DgAAADyYx5UKq9Wqvz41VHa7Ta9On6v0S5fNjlTkdn5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4hVIBAAAAwC2UCgAAAABu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\nAG6hVAAAAABwC6UCAAAAgFv+H61mY7hFgtHTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x4040f67828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SsnFdTpw+R7dB45k1fymxcfeNHk9EshFFioiI5GqXrt7A0yeAqzdu0b+bC93a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\nwKFQUgAAAAA4lP8HmiW0hzMRHiIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x404100f5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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j0adrO9y+Fwu7qb5IePZC6FhEJCdYUoiIqMw4G30ZOw+cQK3qVTH09x5Cxynz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x404105ddd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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17gcL9PXGn+Ti7KQ3X+6lTk+15MGMNoqSAgAAgGJt6869ipgyW6fPntf991VV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\nAQAAAOBU/j9QTRSrqxFMLAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x40410be588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x404110b048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x404113c240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x4041261438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot cumulative returns from distro\n",
    "for thresh in sorted(list(pbt_dict.keys())):\n",
    "    try:\n",
    "        fig, ax = plt.subplots()\n",
    "        HPR[thresh].cumsum().plot(figsize=size, ax=ax, color=flatui[4])\n",
    "        plt.title('Cumulative Mean Returns at threshold = {}'.format(thresh))\n",
    "        #plt.axhline(0, lw=1, color='k')\n",
    "    except: pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "negative threshold: -0.00% | mean return: 0.18% | sum: 8.76%\n",
      "negative threshold: -1.00% | mean return: 0.17% | sum: 8.43%\n",
      "negative threshold: -2.00% | mean return: 0.21% | sum: 7.63%\n",
      "negative threshold: -3.00% | mean return: 0.16% | sum: 5.59%\n",
      "negative threshold: -4.00% | mean return: 0.05% | sum: 1.62%\n",
      "negative threshold: -5.00% | mean return: 0.10% | sum: 2.14%\n",
      "negative threshold: -6.00% | mean return: NaN% | sum: 0.00%\n",
      "negative threshold: -7.00% | mean return: NaN% | sum: 0.00%\n",
      "negative threshold: -10.00% | mean return: NaN% | sum: 0.00%\n",
      "negative threshold: -15.00% | mean return: NaN% | sum: 0.00%\n",
      "negative threshold: -20.00% | mean return: NaN% | sum: 0.00%\n"
     ]
    }
   ],
   "source": [
    "# NEGATIVE THRESHOLDS\n",
    "mondays = [date[MON] for date in dates]\n",
    "fridays = [date[FRI] for date in dates]\n",
    "#len(list(pos_bin_dict.items())) # <= index due based on positive or negative thresholds exceeded\n",
    "# ======================================================================= #\n",
    "pos_thresh = [0., .01, .02, .03, .04, .05, .06, .07, .1, .15, .2]\n",
    "neg_thresh = [ flt * -1. for flt in pos_thresh ]\n",
    "\n",
    "nbt_dict = {} # agg pos_bin_dict by return thresholds\n",
    "# calculate quintiles\n",
    "for thresh in neg_thresh:\n",
    "    try:\n",
    "        neg_bin_dict = {}\n",
    "        for k, v in by_date_neg.items():\n",
    "            tmp = pd.DataFrame()\n",
    "            #print(thresh)\n",
    "            tmp['Percent_Total'] = v.loc[thresh].astype(float)\n",
    "            tmp['Quintiles'] = pd.qcut(tmp['Percent_Total'], 2, labels=False)\n",
    "            neg_bin_dict[k] = tmp.sort_values('Percent_Total', ascending=False)\n",
    "            #print(tmp.sort_values('Percent_Total', ascending=False))\n",
    "    except: pass\n",
    "    nbt_dict[thresh] = neg_bin_dict \n",
    "# ======================================================================= #\n",
    "\n",
    "HPR_n = {} # hpr by thresh\n",
    "for thresh in nbt_dict.keys():\n",
    "    hpr_long = pd.Series() # long portfolio holding period rets\n",
    "    hpr_short = pd.Series()\n",
    "    LS = pd.Series()\n",
    "    for k, v in nbt_dict[thresh].items(): \n",
    "        tgt_date = pd.to_datetime(k)\n",
    "        # select quintile and get symbols\n",
    "        top_q_syms = list(v[v['Quintiles']==1].index)\n",
    "        bottom_q_syms = list(v[v['Quintiles']==0].index)\n",
    "        try:\n",
    "            for i, n in enumerate(dates):\n",
    "                if n[MON] == tgt_date: # get location of date\n",
    "                    next_monday_close = dates[i + 1][MON]\n",
    "        except: continue\n",
    "            \n",
    "        hpr_long.loc[tgt_date.date().strftime('%m-%d-%y')] = by_date_returns[next_monday_close][top_q_syms].mean()\n",
    "        hpr_short.loc[tgt_date.date().strftime('%m-%d-%y')] = by_date_returns[next_monday_close][bottom_q_syms].mean()\n",
    "        \n",
    "        long = hpr_long.loc[tgt_date.date().strftime('%m-%d-%y')]\n",
    "        short = hpr_short.loc[tgt_date.date().strftime('%m-%d-%y')]\n",
    "        \n",
    "        LS.loc[tgt_date.date().strftime('%m-%d-%y')] = long - short\n",
    "    HPR_n[thresh] = LS\n",
    "\n",
    "# ======================================================================= #\n",
    "for thresh in sorted(list(nbt_dict.keys()), reverse=True):\n",
    "    try:\n",
    "        print('negative threshold: {:3.2%} | mean return: {:3.2%} | sum: {:3.2%}'.format(thresh,\n",
    "                                                                          Decimal(HPR_n[thresh].mean()).quantize(dplaces),\n",
    "                                                                          Decimal(HPR_n[thresh].sum()).quantize(dplaces)\n",
    "                                                                                        ))\n",
    "    except: pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gb1dPta5/oQ4lKy0REWm8X37fjpycXHwxop9G96Xv5O4MI0MD7Dt2qtguIITi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\nO3BIX377Y5Fea1PMLs2at1g1q1fR3/8yutTOe7iWi4uLRgzpq9zc3CL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      "text/plain": [
       "<matplotlib.figure.Figure at 0x4042810c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kgI/XyPbr1w/h4eEAPk66mz59OgYMGIA+ffrA29tb/cmJiIiIiCjfZVsgLly4gLS0NOzf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\neRSJRJg4vC8AYPOvB1CAVng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RCJOG9wUAbPp1v9qL0fXAYMS8/4C2zRtBS1NTrWMTqYIF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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x4041026780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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sQad3WERERETytMuJSbwRNBebzcq0MSMoXszL6EiSC1RURERERCTPujYv5dyF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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x404110b358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ORyH2fLLQcQCwkBARERFRBbP7wDFExSehY2t39OraQeg4BkUsFmP6+09v7l/9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\nERFRxbAgISIiIiKiimFBQkREREREFfMF7+rT/oQQs2EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x4041171048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Gj6x1dSjIvzp5Sc2wvo5j6cZOY77el3zfuLXxcELTXh0UQojaSPIihLAJSelZ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\nnPJ6Vc9bsbPIrJey8grO5uX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+AGBQn1trfdy4uhgvdS+iFr/s/IOSsnLuGdTnumenADx4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\n4gUAAACAV/hfj5/YZx2KtX0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x403fbaef98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OWFhYoHLlyp89Z15Uq1YNY8aMwZAhQ5CVlYW6desqZ7MLDg7Grl27sGbNmk/u934cl5ub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\nl7Utbq/q162pGtUqmx0HAAAAMF2RKioNg2vp/vvuVXxCkj7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      "text/plain": [
       "<matplotlib.figure.Figure at 0x4041139b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x40410d0128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x40410fadd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x4041025c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x4040f41f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x4040f77470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot cumulative returns from distro\n",
    "for thresh in sorted(list(nbt_dict.keys()), reverse=True):\n",
    "    try:\n",
    "        fig, ax = plt.subplots()\n",
    "        HPR_n[thresh].cumsum().plot(figsize=size, ax=ax, color=flatui[4])\n",
    "        plt.title('Cumulative Mean Returns at threshold = {}'.format(thresh))\n",
    "        plt.axhline(0, lw=1, color='k')\n",
    "    except: pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# create portfolios based on pct pos, pct neg\n",
    "import sympy\n"
   ]
  }
 ],
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  "varInspector": {
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   "types_to_exclude": [
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